From cad8a92fb7ddd782c2c206b909ffef0fe896acc7 Mon Sep 17 00:00:00 2001
From: Joshua Moerman <lakseru@gmail.com>
Date: Thu, 21 Mar 2013 12:48:44 +0100
Subject: [PATCH] Presentation: Added more images, for homology slides

---
 images/singular_chaincomplex.svg |  12 +-
 images/singular_homology.svg     | 760 +++++++++++++++++++++++++++++++
 images/singular_homology1.pdf    | Bin 0 -> 3746 bytes
 images/singular_homology2.pdf    | Bin 0 -> 4211 bytes
 images/singular_homology3.pdf    | Bin 0 -> 3935 bytes
 presentation/presentation.tex    |  40 +-
 presentation/symbols.tex         |  16 +-
 7 files changed, 801 insertions(+), 27 deletions(-)
 create mode 100644 images/singular_homology.svg
 create mode 100644 images/singular_homology1.pdf
 create mode 100644 images/singular_homology2.pdf
 create mode 100644 images/singular_homology3.pdf

diff --git a/images/singular_chaincomplex.svg b/images/singular_chaincomplex.svg
index 3f09551..2e0f645 100644
--- a/images/singular_chaincomplex.svg
+++ b/images/singular_chaincomplex.svg
@@ -23,7 +23,7 @@
         <dc:format>image/svg+xml</dc:format>
         <dc:type
            rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
-        <dc:title />
+        <dc:title></dc:title>
       </cc:Work>
     </rdf:RDF>
   </metadata>
@@ -948,7 +948,7 @@
      inkscape:groupmode="layer"
      id="layer1"
      inkscape:label="Slide+1"
-     style="display:inline"
+     style="display:none"
      transform="translate(-29.327251,-82.926998)">
     <path
        style="fill:#00c800;fill-opacity:1;stroke:none"
@@ -968,7 +968,7 @@
        style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
     <path
        transform="matrix(1.33334,0,0,1.33334,-84.315838,-52.574382)"
-       d="m 305.33713,145.42989 c 0,0.82842 -0.67158,1.5 -1.5,1.5 -0.82843,0 -1.5,-0.67158 -1.5,-1.5 0,-0.82843 0.67157,-1.5 1.5,-1.5 0.82842,0 1.5,0.67157 1.5,1.5 z"
+       d="m 305.33713,145.42989 a 1.5,1.5 0 1 1 -3,0 1.5,1.5 0 1 1 3,0 z"
        sodipodi:ry="1.5"
        sodipodi:rx="1.5"
        sodipodi:cy="145.42989"
@@ -978,7 +978,7 @@
        sodipodi:type="arc" />
     <path
        transform="matrix(1.33334,0,0,1.33334,-82.719951,-55.260161)"
-       d="m 300.54956,153.48706 c 0,0.82843 -0.67157,1.5 -1.5,1.5 -0.82843,0 -1.5,-0.67157 -1.5,-1.5 0,-0.82843 0.67157,-1.5 1.5,-1.5 0.82843,0 1.5,0.67157 1.5,1.5 z"
+       d="m 300.54956,153.48706 a 1.5,1.5 0 1 1 -3,0 1.5,1.5 0 1 1 3,0 z"
        sodipodi:ry="1.5"
        sodipodi:rx="1.5"
        sodipodi:cy="153.48706"
@@ -988,7 +988,7 @@
        sodipodi:type="arc" />
     <path
        transform="matrix(0.66667,0,0,0.66667,118.24326,44.37936)"
-       d="m 305.33713,145.42989 c 0,0.82842 -0.67158,1.5 -1.5,1.5 -0.82843,0 -1.5,-0.67158 -1.5,-1.5 0,-0.82843 0.67157,-1.5 1.5,-1.5 0.82842,0 1.5,0.67157 1.5,1.5 z"
+       d="m 305.33713,145.42989 a 1.5,1.5 0 1 1 -3,0 1.5,1.5 0 1 1 3,0 z"
        sodipodi:ry="1.5"
        sodipodi:rx="1.5"
        sodipodi:cy="145.42989"
@@ -998,7 +998,7 @@
        sodipodi:type="arc" />
     <path
        transform="matrix(0.66667,0,0,0.66667,116.64742,47.065058)"
-       d="m 300.54956,153.48706 c 0,0.82843 -0.67157,1.5 -1.5,1.5 -0.82843,0 -1.5,-0.67157 -1.5,-1.5 0,-0.82843 0.67157,-1.5 1.5,-1.5 0.82843,0 1.5,0.67157 1.5,1.5 z"
+       d="m 300.54956,153.48706 a 1.5,1.5 0 1 1 -3,0 1.5,1.5 0 1 1 3,0 z"
        sodipodi:ry="1.5"
        sodipodi:rx="1.5"
        sodipodi:cy="153.48706"
diff --git a/images/singular_homology.svg b/images/singular_homology.svg
new file mode 100644
index 0000000..62083d9
--- /dev/null
+++ b/images/singular_homology.svg
@@ -0,0 +1,760 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   width="83.665024"
+   height="74.236137"
+   viewBox="0 0 66.932022 59.38891"
+   version="1.1"
+   id="svg4191"
+   inkscape:version="0.48.2 r9819"
+   sodipodi:docname="singular_homology.svg">
+  <metadata
+     id="metadata4602">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+        <dc:title></dc:title>
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+  <sodipodi:namedview
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1"
+     objecttolerance="10"
+     gridtolerance="10"
+     guidetolerance="10"
+     inkscape:pageopacity="0"
+     inkscape:pageshadow="2"
+     inkscape:window-width="1285"
+     inkscape:window-height="759"
+     id="namedview4600"
+     showgrid="false"
+     inkscape:zoom="5.068455"
+     inkscape:cx="39.804383"
+     inkscape:cy="25.106684"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="0"
+     inkscape:current-layer="layer4"
+     fit-margin-left="1"
+     fit-margin-bottom="1"
+     fit-margin-right="1"
+     fit-margin-top="1" />
+  <defs
+     id="defs4193">
+    <g
+       id="g4195">
+      <symbol
+         overflow="visible"
+         id="glyph0-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4198"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="M 1.328125,-9.953125 1.328125,0 5.03125,0 c 2.03125,0 3.5,-1.296875 3.5,-2.703125 0,-1.25 -1.25,-2.28125 -2.71875,-2.5 1.671875,-0.46875 2.328125,-1.421875 2.328125,-2.25 0,-1.296875 -1.46875,-2.5 -3.5,-2.5 l -3.3125,0 z M 2.5,-5.609375 l 0,-3.546875 1.765625,0 c 1.53125,0 2.765625,0.765625 2.765625,1.71875 0,1 -1.234375,1.828125 -2.75,1.828125 l -1.78125,0 z m 0,4.8125 0,-3.953125 1.90625,0 c 1.84375,0 3,1.03125 3,2.03125 0,1.015625 -1.171875,1.921875 -2.765625,1.921875 l -2.140625,0 z m 0,0"
+           id="path4201"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-2"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 5.84375,-3.234375 c 0,-0.609375 -0.0625,-1.484375 -0.515625,-2.25 -0.59375,-0.984375 -1.59375,-1.09375 -2.015625,-1.09375 -1.546875,0 -2.84375,1.484375 -2.84375,3.34375 0,1.90625 1.375,3.375 3.046875,3.375 0.65625,0 1.453125,-0.1875 2.234375,-0.75 0,-0.0625 -0.046875,-0.515625 -0.046875,-0.53125 -0.015625,-0.015625 -0.03125,-0.34375 -0.03125,-0.390625 -0.859375,0.71875 -1.703125,0.8125 -2.125,0.8125 -1.109375,0 -2.0625,-0.984375 -2.078125,-2.515625 l 4.375,0 z M 1.546875,-4 c 0.25,-0.96875 0.921875,-1.71875 1.765625,-1.71875 0.453125,0 1.4375,0.203125 1.671875,1.71875 l -3.4375,0 z m 0,0"
+           id="path4204"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-3"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="M 3.90625,-3.921875 6.25,-6.375 l -1.3125,0 -2.765625,2.890625 0,-6.46875 -1.046875,0 0,9.953125 1,0 0,-2.0625 L 3.21875,-3.203125 5.390625,0 6.5625,0 3.90625,-3.921875 z m 0,0"
+           id="path4207"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-4"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 2.265625,-9.734375 -1.234375,0 0,1.234375 1.234375,0 0,-1.234375 z M 2.1875,-6.375 l -1.0625,0 0,6.375 1.0625,0 0,-6.375 z m 0,0"
+           id="path4210"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-5"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 2.5625,-9.734375 -1.234375,0 0,1.234375 1.234375,0 0,-1.234375 z M -0.890625,2.4375 c 0.453125,0.28125 1.03125,0.484375 1.6875,0.484375 0.90625,0 1.765625,-0.734375 1.765625,-2.078125 l 0,-7.21875 -1.0625,0 0,7.359375 c 0,0.984375 -0.875,1.03125 -1.078125,1.03125 -0.5625,0 -0.953125,-0.28125 -1.09375,-0.4375 L -0.890625,2.4375 z m 0,0"
+           id="path4213"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-6"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 6.5,-9.953125 -1.3125,0 L 0.59375,0 11.109375,0 6.5,-9.953125 z M 4.75,-6.65625 C 5.25,-7.796875 5.546875,-8.453125 5.703125,-8.921875 5.84375,-8.578125 6,-8.203125 6.21875,-7.65625 6.390625,-7.265625 6.671875,-6.640625 6.75,-6.46875 l 2.453125,5.3125 -6.984375,0 2.53125,-5.5 z m 0,0"
+           id="path4216"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-7"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 2.53125,-0.015625 0,-1.140625 -1.171875,0 0,1.15625 0.359375,0 -0.359375,1.796875 0.578125,0 0.59375,-1.8125 z m 0,0"
+           id="path4219"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-8"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 6.0625,-9.953125 -1.0625,0 0,4.1875 c -0.65625,-0.546875 -1.40625,-0.75 -2.015625,-0.75 C 1.625,-6.515625 0.5,-5.046875 0.5,-3.1875 c 0,1.859375 1.0625,3.328125 2.421875,3.328125 0.53125,0 1.34375,-0.171875 2.0625,-0.875 l 0,0.734375 1.078125,0 0,-9.953125 z M 4.984375,-1.6875 C 4.640625,-1.078125 4.125,-0.71875 3.5,-0.71875 c -0.875,0 -1.90625,-0.671875 -1.90625,-2.453125 0,-1.90625 1.21875,-2.484375 2.046875,-2.484375 0.5625,0 1.015625,0.296875 1.34375,0.765625 l 0,3.203125 z m 0,0"
+           id="path4222"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-9"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 9.328125,-6.375 -1.046875,0 -0.859375,2.921875 C 7.21875,-2.765625 6.8125,-1.421875 6.75,-0.796875 l -0.015625,0 C 6.703125,-1.140625 6.46875,-2.109375 6.171875,-3.125 l -0.953125,-3.25 -0.984375,0 -0.828125,2.8125 c -0.25,0.890625 -0.59375,2.125 -0.640625,2.734375 l -0.015625,0 c -0.015625,-0.28125 -0.171875,-1.03125 -0.4375,-2 L 1.296875,-6.375 l -1.09375,0 L 2.125,0 3.234375,0 c 0.53125,-1.8125 1.375,-4.53125 1.453125,-5.53125 l 0.015625,0 c 0.03125,0.578125 0.3125,1.609375 0.421875,1.953125 L 6.140625,0 7.40625,0 9.328125,-6.375 z m 0,0"
+           id="path4225"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-10"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 5.59375,-5.8125 0,-0.5625 -5,0 0,0.859375 1.9375,0 c 0.171875,0 0.34375,-0.015625 0.515625,-0.015625 l 1.078125,0 -3.734375,4.953125 0,0.578125 5.25,0 0,-0.875 -2.0625,0 c -0.171875,0 -0.34375,0.015625 -0.515625,0.015625 l -1.21875,0 3.75,-4.953125 z m 0,0"
+           id="path4228"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-11"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 2.53125,-1.15625 -1.171875,0 0,1.15625 1.171875,0 0,-1.15625 z m 0,0"
+           id="path4231"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-12"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 4.21875,-9.703125 -0.28125,0 c -0.21875,0.234375 -0.90625,0.90625 -2.453125,0.9375 -0.203125,0 -0.21875,0.015625 -0.21875,0.28125 l 0,0.5625 c 0.875,0 1.53125,-0.21875 1.828125,-0.34375 l 0,7.4375 -1.75,0 0,0.828125 4.625,0 0,-0.828125 -1.75,0 0,-8.875 z m 0,0"
+           id="path4234"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-13"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 0.703125,-0.90625 0,0.90625 5.609375,0 0,-0.96875 -2.546875,0 c -0.1875,0 -0.359375,0 -0.53125,0 l -1.53125,0 c 0.375,-0.375 1.703125,-1.703125 2.640625,-2.53125 1.0625,-0.9375 1.96875,-1.828125 1.96875,-3.140625 0,-1.59375 -1.109375,-3.0625 -3,-3.0625 -1.546875,0 -2.34375,1.03125 -2.71875,2.359375 0.453125,0.578125 0.453125,0.609375 0.578125,0.78125 0.359375,-1.546875 0.890625,-2.25 1.953125,-2.25 1.234375,0 2.03125,0.96875 2.03125,2.203125 0,0.75 -0.296875,1.578125 -1.25,2.515625 l -3.203125,3.1875 z m 0,0"
+           id="path4237"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph0-14"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="M 1.28125,-7.34375 C 1.640625,-8.265625 2.515625,-8.875 3.46875,-8.875 c 0.734375,0 1.421875,0.40625 1.421875,1.34375 0,0.96875 -0.65625,1.75 -1.4375,1.921875 -0.0625,0.015625 -0.96875,0.09375 -1.109375,0.09375 l 0,0.875 1.015625,0 c 1.46875,0 1.828125,1.25 1.828125,2.046875 0,1.15625 -0.703125,2.03125 -1.734375,2.03125 C 2.53125,-0.5625 1.40625,-1.015625 0.75,-2.046875 l -0.15625,0.84375 c 0.921875,1.28125 2.1875,1.5 2.890625,1.5 1.671875,0 2.9375,-1.359375 2.9375,-2.875 0,-1.109375 -0.734375,-2.078125 -1.953125,-2.5 1.015625,-0.546875 1.5625,-1.5 1.5625,-2.453125 0,-1.234375 -1.15625,-2.171875 -2.546875,-2.171875 -1.140625,0 -2.171875,0.640625 -2.703125,1.578125 l 0.5,0.78125 z m 0,0"
+           id="path4240"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph1-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4243"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph1-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 4.96875,-3.03125 c 0.0625,-0.28125 0.0625,-0.359375 0.0625,-0.5 0,-0.609375 -0.296875,-1 -1.09375,-1 -0.625,0 -1.1875,0.296875 -1.609375,0.75 l 0.15625,-0.703125 -0.71875,0 L 0.8125,0 1.578125,0 2.0625,-2.265625 c 0.234375,-1.09375 0.703125,-1.65625 1.359375,-1.65625 0.46875,0 0.8125,0.15625 0.8125,0.65625 0,0.03125 -0.03125,0.1875 -0.03125,0.203125 L 3.5625,0 l 0.78125,0 0.625,-3.03125 z m 0,0"
+           id="path4246"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph1-2"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 2.578125,-3.84375 1.09375,0 0.109375,-0.578125 -1.125,0 0.265625,-1.234375 c 0.09375,-0.5 0.59375,-0.765625 1.09375,-0.765625 0.125,0 0.4375,0.015625 0.765625,0.171875 l 0.140625,-0.671875 c -0.25,-0.0625 -0.515625,-0.109375 -0.765625,-0.109375 -0.984375,0 -1.8125,0.765625 -2,1.65625 l -0.21875,0.953125 -0.734375,0 -0.109375,0.578125 0.734375,0 L 1,0 1.75,0 2.578125,-3.84375 z m 0,0"
+           id="path4249"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph2-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4252"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph2-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 9.453125,-3.296875 c 0.25,0 0.5,0 0.5,-0.28125 0,-0.296875 -0.25,-0.296875 -0.5,-0.296875 l -7.765625,0 c -0.234375,0 -0.5,0 -0.5,0.296875 0,0.28125 0.265625,0.28125 0.5,0.28125 l 7.765625,0 z m 0,0"
+           id="path4255"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph2-2"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 11.96875,-3.296875 c -0.796875,0.59375 -1.1875,1.1875 -1.296875,1.375 -0.640625,0.984375 -0.765625,1.890625 -0.765625,1.90625 0,0.171875 0.171875,0.171875 0.296875,0.171875 0.234375,0 0.25,-0.03125 0.3125,-0.28125 0.328125,-1.40625 1.171875,-2.609375 2.796875,-3.28125 0.171875,-0.046875 0.21875,-0.078125 0.21875,-0.171875 0,-0.109375 -0.09375,-0.15625 -0.125,-0.171875 -0.625,-0.234375 -2.359375,-0.953125 -2.90625,-3.359375 -0.04687,-0.171875 -0.0625,-0.21875 -0.296875,-0.21875 -0.125,0 -0.296875,0 -0.296875,0.171875 0,0.03125 0.140625,0.9375 0.734375,1.890625 0.296875,0.4375 0.703125,0.9375 1.328125,1.390625 l -10.65625,0 c -0.265625,0 -0.53125,0 -0.53125,0.296875 0,0.28125 0.265625,0.28125 0.53125,0.28125 l 10.65625,0 z m 0,0"
+           id="path4258"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph3-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4261"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph3-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 6.234375,-5.25 4.359375,-4.703125 -1.328125,0 -3.40625,3.75 -1.921875,-3.75 -1.421875,0 L 5.046875,-5.25 0.203125,0 1.515625,0 5.46875,-4.390625 7.625,0 9.0625,0 6.234375,-5.25 z m 0,0"
+           id="path4264"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph4-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4267"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph4-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 3.96875,-5.171875 c 0,-0.59375 -0.5,-1.09375 -1.09375,-1.09375 -0.609375,0 -1.09375,0.5 -1.09375,1.09375 0,0.609375 0.484375,1.109375 1.09375,1.109375 0.59375,0 1.09375,-0.5 1.09375,-1.109375 z m 0,0"
+           id="path4270"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph4-2"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 13.609375,-4.75 c 0.359375,0 0.71875,0 0.71875,-0.421875 0,-0.40625 -0.359375,-0.40625 -0.71875,-0.40625 l -11.171875,0 c -0.34375,0 -0.71875,0 -0.71875,0.40625 0,0.421875 0.375,0.421875 0.71875,0.421875 l 11.171875,0 z m 0,0"
+           id="path4273"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph4-3"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 17.234375,-4.75 c -1.140625,0.859375 -1.703125,1.71875 -1.859375,1.984375 -0.9375,1.421875 -1.09375,2.71875 -1.09375,2.75 0,0.25 0.234375,0.25 0.40625,0.25 0.34375,0 0.375,-0.046875 0.453125,-0.421875 0.46875,-2.015625 1.6875,-3.765625 4.03125,-4.703125 0.25,-0.09375 0.3125,-0.125 0.3125,-0.28125 0,-0.140625 -0.125,-0.203125 -0.171875,-0.21875 C 18.40625,-5.75 15.90625,-6.78125 15.125,-10.25 c -0.0625,-0.25 -0.09375,-0.3125 -0.4375,-0.3125 -0.171875,0 -0.40625,0 -0.40625,0.25 0,0.04687 0.171875,1.34375 1.046875,2.734375 0.40625,0.609375 1.015625,1.34375 1.90625,2 l -15.359375,0 c -0.359375,0 -0.734375,0 -0.734375,0.40625 0,0.421875 0.375,0.421875 0.734375,0.421875 l 15.359375,0 z m 0,0"
+           id="path4276"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph4-4"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 5.84375,-12.75 c 0,-0.828125 0.53125,-2.140625 2.796875,-2.28125 C 8.734375,-15.0625 8.8125,-15.140625 8.8125,-15.265625 8.8125,-15.5 8.65625,-15.5 8.421875,-15.5 c -2.0625,0 -3.9375,1.0625 -3.953125,2.59375 l 0,4.703125 c 0,0.8125 0,1.46875 -0.828125,2.15625 -0.734375,0.59375 -1.515625,0.640625 -1.96875,0.65625 -0.109375,0.015625 -0.1875,0.109375 -0.1875,0.21875 0,0.21875 0.125,0.21875 0.328125,0.234375 1.375,0.078125 2.359375,0.828125 2.59375,1.84375 0.0625,0.21875 0.0625,0.265625 0.0625,1 l 0,4.09375 c 0,0.875 0,1.53125 0.984375,2.3125 0.8125,0.625 2.171875,0.859375 2.96875,0.859375 0.234375,0 0.390625,0 0.390625,-0.234375 C 8.8125,4.734375 8.703125,4.734375 8.484375,4.703125 7.1875,4.625 6.171875,3.96875 5.90625,2.90625 5.84375,2.734375 5.84375,2.6875 5.84375,1.9375 l 0,-4.328125 c 0,-0.953125 -0.15625,-1.3125 -0.828125,-1.96875 C 4.578125,-4.796875 3.984375,-5 3.40625,-5.171875 5.109375,-5.640625 5.84375,-6.59375 5.84375,-7.78125 l 0,-4.96875 z m 0,0"
+           id="path4279"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph4-5"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="M 4.46875,2.421875 C 4.46875,3.25 3.921875,4.5625 1.671875,4.703125 1.5625,4.734375 1.484375,4.8125 1.484375,4.9375 c 0,0.234375 0.234375,0.234375 0.421875,0.234375 2,0 3.921875,-1.015625 3.9375,-2.59375 l 0,-4.703125 c 0,-0.8125 0,-1.46875 0.828125,-2.15625 C 7.390625,-4.875 8.1875,-4.921875 8.640625,-4.9375 8.734375,-4.953125 8.8125,-5.046875 8.8125,-5.171875 8.8125,-5.375 8.703125,-5.375 8.484375,-5.390625 7.125,-5.46875 6.140625,-6.21875 5.90625,-7.234375 c -0.0625,-0.21875 -0.0625,-0.265625 -0.0625,-1 l 0,-4.09375 c 0,-0.875 0,-1.53125 -0.984375,-2.3125 C 4.03125,-15.28125 2.609375,-15.5 1.90625,-15.5 c -0.1875,0 -0.421875,0 -0.421875,0.234375 0,0.203125 0.125,0.203125 0.328125,0.234375 1.3125,0.07813 2.3125,0.734375 2.59375,1.796875 0.0625,0.171875 0.0625,0.21875 0.0625,0.96875 l 0,4.328125 c 0,0.953125 0.15625,1.3125 0.8125,1.96875 0.4375,0.4375 1.046875,0.640625 1.625,0.796875 -1.703125,0.484375 -2.4375,1.4375 -2.4375,2.625 l 0,4.96875 z m 0,0"
+           id="path4282"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph4-6"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 1.96875,-4.75 c 0.125,0 0.578125,0 0.578125,-0.421875 0,-0.40625 -0.453125,-0.40625 -0.578125,-0.40625 l 0,-2.703125 c 0,-0.328125 0,-0.71875 -0.421875,-0.71875 -0.40625,0 -0.40625,0.390625 -0.40625,0.71875 l 0,6.234375 c 0,0.328125 0,0.71875 0.40625,0.71875 0.421875,0 0.421875,-0.390625 0.421875,-0.71875 l 0,-2.703125 z m 0,0"
+           id="path4285"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph4-7"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 13.609375,-12.3125 c 0.359375,0 0.71875,0 0.71875,-0.40625 0,-0.421875 -0.359375,-0.421875 -0.71875,-0.421875 l -5.546875,0 c -3.5625,0 -6.34375,2.703125 -6.34375,5.96875 0,3.328125 2.84375,6 6.34375,6 l 5.546875,0 c 0.359375,0 0.71875,0 0.71875,-0.421875 C 14.328125,-2 13.96875,-2 13.609375,-2 L 8.09375,-2 c -3.265625,0 -5.546875,-2.421875 -5.546875,-5.140625 0,-2.8125 2.34375,-5.171875 5.546875,-5.171875 l 5.515625,0 z M 2.84375,2 C 2.5,2 2.125,2 2.125,2.421875 c 0,0.40625 0.375,0.40625 0.71875,0.40625 l 10.765625,0 c 0.359375,0 0.71875,0 0.71875,-0.40625 C 14.328125,2 13.96875,2 13.609375,2 L 2.84375,2 z m 0,0"
+           id="path4288"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph5-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4291"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph5-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="M 6.515625,-4.796875 C 6.421875,-5.59375 5.921875,-6.5625 4.640625,-6.5625 c -2.03125,0 -4.09375,2.0625 -4.09375,4.34375 0,0.875 0.59375,2.515625 2.546875,2.515625 3.390625,0 4.84375,-4.9375 4.84375,-6.890625 0,-2.0625 -1.171875,-3.65625 -3,-3.65625 -2.078125,0 -2.703125,1.8125 -2.703125,2.203125 0,0.125 0.09375,0.4375 0.484375,0.4375 0.515625,0 0.71875,-0.453125 0.71875,-0.703125 C 3.4375,-8.75 3,-8.75 2.8125,-8.75 3.40625,-9.8125 4.484375,-9.90625 4.875,-9.90625 c 1.265625,0 2.0625,1 2.0625,2.609375 0,0.90625 -0.265625,1.96875 -0.40625,2.5 l -0.015625,0 z m -3.375,4.703125 c -1.34375,0 -1.578125,-1.046875 -1.578125,-1.65625 0,-0.625 0.40625,-2.109375 0.625,-2.640625 0.171875,-0.421875 1,-1.875 2.484375,-1.875 1.3125,0 1.609375,1.125 1.609375,1.90625 0,1.0625 -0.9375,4.265625 -3.140625,4.265625 z m 0,0"
+           id="path4294"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph6-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4297"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph6-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 0.578125,-0.75 0,0.75 4.6875,0 0,-0.8125 -2.140625,0 c -0.140625,0 -0.28125,0.015625 -0.421875,0.015625 l -1.28125,0 C 1.734375,-1.125 2.84375,-2.21875 3.625,-2.921875 4.5,-3.6875 5.265625,-4.4375 5.265625,-5.53125 c 0,-1.328125 -0.921875,-2.546875 -2.5,-2.546875 -1.296875,0 -1.953125,0.84375 -2.28125,1.953125 0.390625,0.484375 0.390625,0.5 0.5,0.65625 0.296875,-1.28125 0.734375,-1.875 1.625,-1.875 1.03125,0 1.6875,0.8125 1.6875,1.828125 0,0.625 -0.25,1.3125 -1.046875,2.109375 L 0.578125,-0.75 z m 0,0"
+           id="path4300"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph6-2"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 3.515625,-8.078125 -0.234375,0 c -0.1875,0.1875 -0.765625,0.75 -2.046875,0.78125 -0.171875,0 -0.1875,0 -0.1875,0.21875 l 0,0.484375 c 0.734375,0 1.28125,-0.1875 1.53125,-0.296875 l 0,6.203125 -1.453125,0 0,0.6875 3.84375,0 0,-0.6875 -1.453125,0 0,-7.390625 z m 0,0"
+           id="path4303"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph6-3"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="M 5.359375,-3.890625 C 5.359375,-4.703125 5.3125,-5.625 5.015625,-6.46875 4.5,-7.8125 3.5625,-8.078125 2.921875,-8.078125 c -0.765625,0 -1.515625,0.390625 -1.96875,1.34375 -0.390625,0.84375 -0.46875,1.8125 -0.46875,2.84375 0,1.296875 0.109375,2.03125 0.5,2.875 0.359375,0.78125 1.125,1.265625 1.9375,1.265625 0.78125,0 1.53125,-0.421875 1.9375,-1.25 0.40625,-0.859375 0.5,-1.71875 0.5,-2.890625 z m -2.4375,3.421875 c -1.515625,0 -1.515625,-2.453125 -1.515625,-3.578125 0,-0.765625 0,-1.5 0.203125,-2.1875 0.296875,-0.84375 0.8125,-1.125 1.3125,-1.125 1.53125,0 1.53125,2.21875 1.53125,3.3125 0,0.765625 0,1.5625 -0.21875,2.296875 -0.328125,1.15625 -1,1.28125 -1.3125,1.28125 z m 0,0"
+           id="path4306"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph7-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4309"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph7-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 10.5,-7.78125 c 0.265625,0 0.9375,0 0.9375,-0.671875 0,-0.453125 -0.390625,-0.453125 -0.765625,-0.453125 l -4.5625,0 c -3.09375,0 -5.328125,3.453125 -5.328125,5.890625 0,1.75 1.140625,3.21875 3,3.21875 2.4375,0 5.09375,-2.625 5.09375,-5.71875 0,-0.8125 -0.171875,-1.59375 -0.671875,-2.265625 l 2.296875,0 z m -6.703125,7.578125 c -1.046875,0 -1.8125,-0.8125 -1.8125,-2.234375 0,-1.234375 0.75,-5.34375 3.78125,-5.34375 0.890625,0 1.875,0.421875 1.875,2.015625 0,0.71875 -0.328125,2.453125 -1.046875,3.65625 -0.75,1.21875 -1.859375,1.90625 -2.796875,1.90625 z m 0,0"
+           id="path4312"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph7-2"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="M 9.375,-6.90625 C 9.25,-8.0625 8.53125,-9.4375 6.671875,-9.4375 c -2.90625,0 -5.890625,2.953125 -5.890625,6.234375 0,1.265625 0.875,3.640625 3.6875,3.640625 4.875,0 6.953125,-7.109375 6.953125,-9.9375 0,-2.96875 -1.671875,-5.265625 -4.3125,-5.265625 -3,0 -3.890625,2.625 -3.890625,3.171875 0,0.1875 0.125,0.640625 0.703125,0.640625 0.71875,0 1.03125,-0.65625 1.03125,-1 0,-0.640625 -0.640625,-0.640625 -0.90625,-0.640625 0.84375,-1.53125 2.421875,-1.6875 2.96875,-1.6875 C 8.84375,-14.28125 10,-12.828125 10,-10.515625 10,-9.1875 9.609375,-7.65625 9.40625,-6.90625 l -0.03125,0 z M 4.53125,-0.125 C 2.578125,-0.125 2.25,-1.65625 2.25,-2.515625 c 0,-0.90625 0.578125,-3.046875 0.890625,-3.8125 0.265625,-0.609375 1.4375,-2.703125 3.59375,-2.703125 1.875,0 2.3125,1.640625 2.3125,2.75 0,1.53125 -1.34375,6.15625 -4.515625,6.15625 z m 0,0"
+           id="path4315"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph7-3"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 5.921875,-7.78125 3.4375,0 c 0.265625,0 0.953125,0 0.953125,-0.671875 0,-0.453125 -0.390625,-0.453125 -0.765625,-0.453125 l -5.6875,0 c -0.46875,0 -1.171875,0 -2.125,1.015625 -0.53125,0.59375 -1.203125,1.6875 -1.203125,1.8125 0,0.125 0.109375,0.171875 0.234375,0.171875 0.140625,0 0.15625,-0.0625 0.265625,-0.1875 1.078125,-1.6875 2.15625,-1.6875 2.671875,-1.6875 l 1.703125,0 -2.140625,7.078125 c -0.109375,0.3125 -0.109375,0.359375 -0.109375,0.40625 0,0.234375 0.15625,0.53125 0.5625,0.53125 0.640625,0 0.75,-0.5625 0.8125,-0.875 L 5.921875,-7.78125 z m 0,0"
+           id="path4318"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph8-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4321"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph8-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 7.90625,-4.796875 5.453125,0 c 0.296875,0 0.640625,0 0.640625,-0.34375 0,-0.375 -0.328125,-0.375 -0.640625,-0.375 l -5.453125,0 0,-5.46875 c 0,-0.296875 0,-0.640625 -0.34375,-0.640625 -0.375,0 -0.375,0.328125 -0.375,0.640625 l 0,5.46875 -5.46875,0 c -0.296875,0 -0.640625,0 -0.640625,0.34375 0,0.375 0.328125,0.375 0.640625,0.375 l 5.46875,0 0,5.484375 c 0,0.28125 0,0.640625 0.359375,0.640625 0.359375,0 0.359375,-0.34375 0.359375,-0.640625 l 0,-5.484375 z m 0,0"
+           id="path4324"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph8-2"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="M 13.390625,-6.625 C 13.6875,-6.625 14,-6.625 14,-6.984375 c 0,-0.375 -0.34375,-0.375 -0.703125,-0.375 l -11.515625,0 c -0.359375,0 -0.703125,0 -0.703125,0.375 0,0.359375 0.3125,0.359375 0.609375,0.359375 l 11.703125,0 z m -0.09375,3.671875 c 0.359375,0 0.703125,0 0.703125,-0.375 0,-0.34375 -0.3125,-0.34375 -0.609375,-0.34375 l -11.703125,0 c -0.296875,0 -0.609375,0 -0.609375,0.34375 0,0.375 0.34375,0.375 0.703125,0.375 l 11.515625,0 z m 0,0"
+           id="path4327"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph8-3"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="M 5.203125,-15.46875 C 4.09375,-14.328125 1.53125,-11.6875 1.53125,-5.171875 c 0,6.5625 2.5625,9.171875 3.671875,10.34375 l 1.265625,0 c -2.546875,-2.65625 -3.375,-6.34375 -3.375,-10.3125 0,-3.953125 0.796875,-7.671875 3.375,-10.328125 l -1.265625,0 z m 0,0"
+           id="path4330"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph8-4"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 2.328125,5.171875 c 1.125,-1.140625 3.6875,-3.78125 3.6875,-10.3125 0,-6.546875 -2.5625,-9.171875 -3.6875,-10.328125 l -1.25,0 C 3.609375,-12.828125 4.4375,-9.125 4.4375,-5.171875 4.4375,-1.21875 3.65625,2.5 1.078125,5.171875 l 1.25,0 z m 0,0"
+           id="path4333"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph9-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4336"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph9-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 8.765625,-7.5625 6.09375,-6.765625 -1.890625,0 -4.765625,5.359375 -2.578125,-5.359375 -2.03125,0 L 7.0625,-7.5625 0.265625,0 2.171875,0 7.640625,-6.296875 10.578125,0 12.625,0 8.765625,-7.5625 z m 0,0"
+           id="path4339"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph10-0"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d=""
+           id="path4342"
+           inkscape:connector-curvature="0" />
+      </symbol>
+      <symbol
+         overflow="visible"
+         id="glyph10-1"
+         style="overflow:visible">
+        <path
+           style="stroke:none"
+           d="m 5.53125,-6.484375 0.75,0 L 9.375,-1.6875 c 0.203125,0.328125 0.703125,1.125 0.9375,1.4375 C 10.453125,0 10.515625,0 10.984375,0 l 2.859375,0 c 0.375,0 0.671875,0 0.671875,-0.375 0,-0.15625 -0.125,-0.3125 -0.296875,-0.34375 C 13.453125,-0.890625 12.4375,-2.25 11.9375,-2.90625 11.796875,-3.125 10.765625,-4.484375 9.375,-6.71875 11.21875,-7.046875 13,-7.828125 13,-10.28125 c 0,-2.875 -3.046875,-3.875 -5.484375,-3.875 l -6.484375,0 c -0.375,0 -0.703125,0 -0.703125,0.375 0,0.359375 0.390625,0.359375 0.5625,0.359375 1.171875,0 1.28125,0.140625 1.28125,1.171875 l 0,10.34375 c 0,1.03125 -0.109375,1.1875 -1.28125,1.1875 -0.171875,0 -0.5625,0 -0.5625,0.34375 C 0.328125,0 0.65625,0 1.03125,0 L 6.6875,0 c 0.375,0 0.6875,0 0.6875,-0.375 0,-0.34375 -0.359375,-0.34375 -0.578125,-0.34375 -1.171875,0 -1.265625,-0.171875 -1.265625,-1.1875 l 0,-4.578125 z M 9.515625,-7.5 c 0.578125,-0.765625 0.640625,-1.859375 0.640625,-2.765625 0,-0.984375 -0.125,-2.09375 -0.78125,-2.9375 0.84375,0.1875 2.890625,0.828125 2.890625,2.921875 0,1.34375 -0.609375,2.390625 -2.75,2.78125 z M 5.53125,-12.3125 c 0,-0.4375 0,-1.109375 1.28125,-1.109375 1.765625,0 2.625,0.71875 2.625,3.15625 0,2.671875 -0.640625,3.0625 -3.90625,3.0625 l 0,-5.109375 z M 2.734375,-0.71875 c 0.15625,-0.375 0.15625,-0.953125 0.15625,-1.140625 l 0,-10.4375 c 0,-0.203125 0,-0.765625 -0.15625,-1.125 l 2.34375,0 C 4.8125,-13.09375 4.8125,-12.6875 4.8125,-12.375 l 0,10.515625 c 0,0.203125 0,0.765625 0.171875,1.140625 l -2.25,0 z M 7.125,-6.484375 C 7.265625,-6.5 7.359375,-6.53125 7.515625,-6.53125 c 0.3125,0 0.765625,-0.03125 1.078125,-0.078125 0.3125,0.5 2.546875,4.171875 4.25,5.890625 l -2,0 L 7.125,-6.484375 z m 0,0"
+           id="path4345"
+           inkscape:connector-curvature="0" />
+      </symbol>
+    </g>
+  </defs>
+  <g
+     inkscape:groupmode="layer"
+     id="layer1"
+     inkscape:label="SlideA"
+     style="display:inline"
+     transform="translate(-23.545343,-68.674595)">
+    <path
+       style="fill:#000000;fill-opacity:0.11764706;stroke:#000000;stroke-width:0.80000001;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
+       d="m 24.849903,86.74184 c -0.791433,4.177822 3.11043,7.92362 4.95702,11.75385 1.092806,2.26672 3.110718,4.16199 3.61505,6.62733 1.28178,6.26575 -5.496538,13.85485 -1.83513,19.09858 1.947056,2.78851 6.470634,2.50358 9.87071,2.58263 7.676864,0.17851 16.764382,0.27881 22.53353,-4.78904 8.203039,-7.20586 14.836179,-20.71762 10.88223,-30.89508 -2.004477,-5.15952 -9.613989,-5.519044 -14.64367,-7.83008 -3.06848,-1.409904 -6.163396,-2.86511 -9.44367,-3.66711 -5.585815,-1.365686 -11.734924,-3.819323 -17.1483,-1.87979 -3.946925,1.414125 -8.007415,4.879364 -8.78777,8.99871 z"
+       id="path7167"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="aaaaaaaaaaa" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="SlideA+1"
+     style="display:inline"
+     transform="translate(-23.545343,-68.674595)">
+    <g
+       id="g6032">
+      <path
+         id="path4769"
+         d="m 50.738969,105.31128 1.71875,0 c 0.13282,0 0.47657,0 0.47657,-0.33594 0,-0.22656 -0.19532,-0.22656 -0.38282,-0.22656 l -2.84375,0 c -0.23437,0 -0.58593,0 -1.0625,0.50781 -0.26562,0.29688 -0.60156,0.84375 -0.60156,0.90625 0,0.0625 0.0547,0.0859 0.11719,0.0859 0.0703,0 0.0781,-0.0312 0.13281,-0.0937 0.53906,-0.84375 1.07813,-0.84375 1.33594,-0.84375 l 0.85156,0 -1.07031,3.53906 c -0.0547,0.15625 -0.0547,0.17969 -0.0547,0.20312 0,0.11719 0.0781,0.26563 0.28125,0.26563 0.32031,0 0.375,-0.28125 0.40625,-0.4375 l 0.69531,-3.57031 z m 0,0"
+         style="fill:#00c800;fill-opacity:1;stroke:none"
+         inkscape:connector-curvature="0" />
+      <path
+         inkscape:connector-curvature="0"
+         id="path5972"
+         d="m 51.630342,97.520809 c -0.685351,-0.04856 -0.871761,0.539664 -1.345879,0.833168"
+         style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path5974"
+         d="m 52.703061,99.075766 c -1.837897,0.38252 -2.187165,1.166334 -3.418238,1.803104"
+         style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path5976"
+         d="m 53.412344,100.56702 c -1.48091,1.13531 -3.068109,1.833 -4.657432,2.62767"
+         style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path5978"
+         d="m 55.629685,103.82698 c -0.786217,0.27734 -0.495352,0.71253 -1.602239,0.89725"
+         style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path5982"
+         d="m 56.719205,105.49331 c -1.208912,0.47608 -3.570556,1.90397 -4.614444,2.4354"
+         style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
+      <path
+         inkscape:connector-curvature="0"
+         id="path5986"
+         d="m 57.808727,107.54417 c -4.069163,2.28804 -8.04481,3.67418 -12.497452,5.06308"
+         style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path5988"
+         d="m 47.362139,110.30002 c -0.898153,-0.0119 -3.185939,1.24415 -3.396744,1.28179"
+         style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path5990"
+         d="m 51.912493,112.09453 c 2.518645,-0.007 5.091654,-1.72424 6.601219,-2.11496"
+         style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path5978-9"
+         d="m 53.514731,102.51315 c -0.786217,0.27734 -1.456693,1.16115 -2.56358,1.34588"
+         style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
+    </g>
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer3"
+     inkscape:label="SlideB"
+     style="display:inline">
+    <path
+       style="fill:#000000;fill-opacity:0.11764706;fill-rule:evenodd;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;display:inline"
+       d="m 17.84375,10.4375 c -1.781267,0.02672 -3.52707,0.300146 -5.21875,0.90625 -4.933656,1.767656 -10.0245563,6.100818 -11,11.25 -0.98929121,5.222277 3.8792626,9.899713 6.1875,14.6875 1.3660074,2.8334 3.900835,5.199575 4.53125,8.28125 1.602225,7.832187 -6.8580098,17.320338 -2.28125,23.875 2.43382,3.485637 8.062405,3.119938 12.3125,3.21875 9.59608,0.223137 20.976065,0.366062 28.1875,-5.96875 C 60.816298,57.680175 69.098686,40.784324 64.15625,28.0625 61.650654,21.6131 52.130851,21.170045 45.84375,18.28125 42.00815,16.51887 38.162842,14.69 34.0625,13.6875 28.825799,12.407169 23.18755,10.357327 17.84375,10.4375 z m 18.21875,33.625 c 5.088634,-0.280222 6.081994,11.012686 -2.09375,8.96875 -1.339693,-0.334923 -2.1875,-0.637373 -2.1875,-2.15625 0,-2.781531 -0.02176,-5.793612 2.5625,-6.3125 0.60859,-0.304295 1.19234,-0.471011 1.71875,-0.5 z"
+       transform="matrix(0.80000004,0,0,0.80000004,0,-1.2679445e-6)"
+       id="path6064"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="ssssssssssssssscs" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer4"
+     inkscape:label="SlideCommon">
+    <g
+       style="display:inline"
+       id="g4832"
+       transform="matrix(0.5,0,0,0.5,18.624559,-35.866117)">
+      <path
+         id="path4813"
+         d="m 38.846001,123.86874 c 0.265625,0 0.9375,0 0.9375,-0.67187 0,-0.45313 -0.390625,-0.45313 -0.765625,-0.45313 l -4.5625,0 c -3.09375,0 -5.328125,3.45313 -5.328125,5.89062 0,1.75 1.140625,3.21875 3,3.21875 2.4375,0 5.09375,-2.625 5.09375,-5.71874 0,-0.8125 -0.171875,-1.59375 -0.671875,-2.26563 l 2.296875,0 z m -6.703125,7.57812 c -1.046875,0 -1.8125,-0.8125 -1.8125,-2.23437 0,-1.23437 0.75,-5.34375 3.78125,-5.34375 0.890625,0 1.875,0.42188 1.875,2.01563 0,0.71875 -0.328125,2.45312 -1.046875,3.65624 -0.75,1.21875 -1.859375,1.90625 -2.796875,1.90625 z m 0,0"
+         style="fill:#000000;fill-opacity:1;stroke:none"
+         inkscape:connector-curvature="0" />
+      <path
+         id="path4809"
+         d="m 44.064751,125.04586 -0.28125,0 c -0.21875,0.23438 -0.90625,0.90625 -2.453125,0.9375 -0.203125,0 -0.21875,0.0156 -0.21875,0.28125 l 0,0.5625 c 0.875,0 1.53125,-0.21875 1.828125,-0.34375 l 0,7.4375 -1.75,0 0,0.82813 4.625,0 0,-0.82813 -1.75,0 0,-8.875 z m 0,0"
+         style="fill:#000000;fill-opacity:1;stroke:none"
+         inkscape:connector-curvature="0" />
+    </g>
+    <g
+       style="display:inline"
+       id="g4836"
+       transform="matrix(0.5,0,0,0.5,-7.934316,-14.179487)">
+      <path
+         id="path4801"
+         d="m 82.164001,123.86874 c 0.265625,0 0.9375,0 0.9375,-0.67187 0,-0.45313 -0.390625,-0.45313 -0.765625,-0.45313 l -4.5625,0 c -3.09375,0 -5.328125,3.45313 -5.328125,5.89062 0,1.75 1.140625,3.21875 3,3.21875 2.4375,0 5.09375,-2.625 5.09375,-5.71874 0,-0.8125 -0.171875,-1.59375 -0.671875,-2.26563 l 2.296875,0 z m -6.703125,7.57812 c -1.046875,0 -1.8125,-0.8125 -1.8125,-2.23437 0,-1.23437 0.75,-5.34375 3.78125,-5.34375 0.890625,0 1.875,0.42188 1.875,2.01563 0,0.71875 -0.328125,2.45312 -1.046875,3.65624 -0.75,1.21875 -1.859375,1.90625 -2.796875,1.90625 z m 0,0"
+         style="fill:#000000;fill-opacity:1;stroke:none"
+         inkscape:connector-curvature="0" />
+      <path
+         id="path4797"
+         d="m 83.866127,133.84274 0,0.90625 5.609375,0 0,-0.96875 -2.546875,0 c -0.1875,0 -0.359375,0 -0.53125,0 l -1.53125,0 c 0.375,-0.375 1.703125,-1.70313 2.640625,-2.53125 1.0625,-0.9375 1.96875,-1.82813 1.96875,-3.14063 0,-1.59375 -1.109375,-3.0625 -3,-3.0625 -1.546875,0 -2.34375,1.03125 -2.71875,2.35938 0.453125,0.57812 0.453125,0.60937 0.578125,0.78125 0.359375,-1.54688 0.890625,-2.25 1.953125,-2.25 1.234375,0 2.03125,0.96875 2.03125,2.20312 0,0.75 -0.296875,1.57813 -1.25,2.51563 l -3.203125,3.1875 z m 0,0"
+         style="fill:#000000;fill-opacity:1;stroke:none"
+         inkscape:connector-curvature="0" />
+    </g>
+    <g
+       style="display:inline"
+       id="g4840"
+       transform="matrix(0.5,0,0,0.5,-45.551856,-33.878899)">
+      <path
+         id="path4789"
+         d="m 125.481,123.86874 c 0.26562,0 0.9375,0 0.9375,-0.67187 0,-0.45313 -0.39063,-0.45313 -0.76563,-0.45313 l -4.5625,0 c -3.09375,0 -5.32812,3.45313 -5.32812,5.89062 0,1.75 1.14062,3.21875 3,3.21875 2.4375,0 5.09375,-2.625 5.09375,-5.71874 0,-0.8125 -0.17188,-1.59375 -0.67188,-2.26563 l 2.29688,0 z m -6.70313,7.57812 c -1.04687,0 -1.8125,-0.8125 -1.8125,-2.23437 0,-1.23437 0.75,-5.34375 3.78125,-5.34375 0.89063,0 1.875,0.42188 1.875,2.01563 0,0.71875 -0.32812,2.45312 -1.04687,3.65624 -0.75,1.21875 -1.85938,1.90625 -2.79688,1.90625 z m 0,0"
+         style="fill:#000000;fill-opacity:1;stroke:none"
+         inkscape:connector-curvature="0" />
+      <path
+         id="path4785"
+         d="m 127.76125,127.40524 c 0.35938,-0.92188 1.23438,-1.53125 2.1875,-1.53125 0.73438,0 1.42188,0.40625 1.42188,1.34375 0,0.96875 -0.65625,1.75 -1.4375,1.92187 -0.0625,0.0156 -0.96875,0.0937 -1.10938,0.0937 l 0,0.875 1.01563,0 c 1.46875,0 1.82812,1.25 1.82812,2.04688 0,1.15625 -0.70312,2.03125 -1.73437,2.03125 -0.92188,0 -2.04688,-0.45313 -2.70313,-1.48438 l -0.15625,0.84375 c 0.92188,1.28125 2.1875,1.5 2.89063,1.5 1.67187,0 2.9375,-1.35937 2.9375,-2.875 0,-1.10937 -0.73438,-2.07812 -1.95313,-2.5 1.01563,-0.54687 1.5625,-1.5 1.5625,-2.45312 0,-1.23438 -1.15625,-2.17188 -2.54687,-2.17188 -1.14063,0 -2.17188,0.64063 -2.70313,1.57813 l 0.5,0.78125 z m 0,0"
+         style="fill:#000000;fill-opacity:1;stroke:none"
+         inkscape:connector-curvature="0" />
+    </g>
+    <g
+       style="display:inline"
+       id="g5137"
+       transform="matrix(0.5,0,0,0.5,19.724272,-77.345941)">
+      <path
+         id="path4761"
+         d="m 37.111626,165.9305 6.09375,-6.76563 -1.890625,0 -4.765625,5.35938 -2.578125,-5.35938 -2.03125,0 3.46875,6.76563 -6.796875,7.5625 1.90625,0 5.46875,-6.29688 2.9375,6.29688 2.046875,0 -3.859375,-7.5625 z m 0,0"
+         style="fill:#000000;fill-opacity:1;stroke:none"
+         inkscape:connector-curvature="0" />
+      <g
+         id="g4844">
+        <path
+           inkscape:connector-curvature="0"
+           style="fill:#000000;fill-opacity:1;stroke:none"
+           d="m 63.379375,161.1805 c 0.359375,0 0.71875,0 0.71875,-0.40625 0,-0.42188 -0.359375,-0.42188 -0.71875,-0.42188 l -5.546875,0 c -3.5625,0 -6.34375,2.70313 -6.34375,5.96875 0,3.32813 2.84375,6 6.34375,6 l 5.546875,0 c 0.359375,0 0.71875,0 0.71875,-0.42187 0,-0.40625 -0.359375,-0.40625 -0.71875,-0.40625 l -5.515625,0 c -3.265625,0 -5.546875,-2.42188 -5.546875,-5.14063 0,-2.8125 2.34375,-5.17187 5.546875,-5.17187 l 5.515625,0 z M 52.61375,175.493 c -0.34375,0 -0.71875,0 -0.71875,0.42187 0,0.40625 0.375,0.40625 0.71875,0.40625 l 10.765625,0 c 0.359375,0 0.71875,0 0.71875,-0.40625 0,-0.42187 -0.359375,-0.42187 -0.71875,-0.42187 l -10.765625,0 z m 0,0"
+           id="path4757" />
+      </g>
+      <g
+         id="g4847">
+        <path
+           inkscape:connector-curvature="0"
+           style="fill:#000000;fill-opacity:1;stroke:none"
+           d="m 77.111252,167.00862 0.75,0 3.09375,4.79688 c 0.203125,0.32812 0.703125,1.125 0.9375,1.4375 0.140625,0.25 0.203125,0.25 0.671875,0.25 l 2.859375,0 c 0.375,0 0.671875,0 0.671875,-0.375 0,-0.15625 -0.125,-0.3125 -0.296875,-0.34375 -0.765625,-0.17188 -1.78125,-1.53125 -2.28125,-2.1875 -0.140625,-0.21875 -1.171875,-1.57813 -2.5625,-3.8125 1.84375,-0.32813 3.625,-1.10938 3.625,-3.5625 0,-2.875 -3.046875,-3.875 -5.484375,-3.875 l -6.484375,0 c -0.375,0 -0.703125,0 -0.703125,0.375 0,0.35937 0.390625,0.35937 0.5625,0.35937 1.171875,0 1.28125,0.14063 1.28125,1.17188 l 0,10.34375 c 0,1.03125 -0.109375,1.1875 -1.28125,1.1875 -0.171875,0 -0.5625,0 -0.5625,0.34375 0,0.375 0.328125,0.375 0.703125,0.375 l 5.65625,0 c 0.375,0 0.6875,0 0.6875,-0.375 0,-0.34375 -0.359375,-0.34375 -0.578125,-0.34375 -1.171875,0 -1.265625,-0.17188 -1.265625,-1.1875 l 0,-4.57813 z m 3.984375,-1.01562 c 0.578125,-0.76563 0.640625,-1.85938 0.640625,-2.76563 0,-0.98437 -0.125,-2.09375 -0.78125,-2.9375 0.84375,0.1875 2.890625,0.82813 2.890625,2.92188 0,1.34375 -0.609375,2.39062 -2.75,2.78125 z m -3.984375,-4.8125 c 0,-0.4375 0,-1.10938 1.28125,-1.10938 1.765625,0 2.625,0.71875 2.625,3.15625 0,2.67188 -0.640625,3.0625 -3.90625,3.0625 l 0,-5.10937 z m -2.796875,11.59375 c 0.15625,-0.375 0.15625,-0.95313 0.15625,-1.14063 l 0,-10.4375 c 0,-0.20312 0,-0.76562 -0.15625,-1.125 l 2.34375,0 c -0.265625,0.32813 -0.265625,0.73438 -0.265625,1.04688 l 0,10.51562 c 0,0.20313 0,0.76563 0.171875,1.14063 l -2.25,0 z m 4.390625,-5.76563 c 0.140625,-0.0156 0.234375,-0.0469 0.390625,-0.0469 0.3125,0 0.765625,-0.0312 1.078125,-0.0781 0.3125,0.5 2.546875,4.17188 4.25,5.89063 l -2,0 -3.71875,-5.76563 z m 0,0"
+           id="path4753" />
+        <path
+           inkscape:connector-curvature="0"
+           style="fill:#000000;fill-opacity:1;stroke:none"
+           d="m 87.206123,165.08875 0,0.90625 5.609375,0 0,-0.96875 -2.546875,0 c -0.1875,0 -0.359375,0 -0.53125,0 l -1.53125,0 c 0.375,-0.375 1.703125,-1.70313 2.640625,-2.53125 1.0625,-0.9375 1.96875,-1.82813 1.96875,-3.14063 0,-1.59375 -1.109375,-3.0625 -3,-3.0625 -1.546875,0 -2.34375,1.03125 -2.71875,2.35938 0.453125,0.57812 0.453125,0.60937 0.578125,0.78125 0.359375,-1.54688 0.890625,-2.25 1.953125,-2.25 1.234375,0 2.03125,0.96875 2.03125,2.20312 0,0.75 -0.296875,1.57813 -1.25,2.51563 l -3.203125,3.1875 z m 0,0"
+           id="path4749" />
+      </g>
+    </g>
+    <g
+       transform="translate(-23.545343,-68.674595)"
+       style="display:inline"
+       id="g6156">
+      <path
+         sodipodi:nodetypes="cccc"
+         inkscape:connector-curvature="0"
+         id="path5913"
+         d="m 49.555765,92.418285 c 0.456685,8.462115 -5.472835,14.948225 -8.168533,21.238185 7.127633,2.57713 14.432367,-1.04962 19.967525,-1.45218 -1.886606,-7.51653 -8.092933,-13.607476 -11.617469,-19.422957"
+         style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
+      <path
+         inkscape:connector-curvature="0"
+         id="path5921"
+         d="m 43.695051,105.30375 c -0.02631,1.27266 0.0947,2.22546 0.14737,3.46318 0.994813,0.18485 2.582589,-0.18017 3.168444,-0.22105"
+         style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
+      <path
+         inkscape:connector-curvature="0"
+         id="path5927"
+         d="m 48.631929,112.8196 c -0.432306,0.515 -0.663807,1.4483 -0.810533,1.76843 0.510044,0.61672 1.144847,1.09281 1.621065,1.54738"
+         style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
+      <path
+         sodipodi:nodetypes="ccc"
+         inkscape:connector-curvature="0"
+         id="path5929"
+         d="m 54.453023,102.72479 0.515793,-2.28423 c 0.911818,-0.14735 1.789343,0.31577 2.505281,0.44211"
+         style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
+    </g>
+  </g>
+</svg>
diff --git a/images/singular_homology1.pdf b/images/singular_homology1.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..5de466f91eeb5f33a21d7c71ac28f786c0f0f6e6
GIT binary patch
literal 3746
zcma)9XIN8N*QH1?G?gCOr5Aw|Y7nG1rG%!Vf)XIo6HG!;I!K>Tl%Xg?6$znAQA8L4
zAyNetkX}R_sZtdL;R`rA&h!5H&U2r8?pb&5v)4ZR{8(EOX<(!PQ&a&-)-IRtf|LL#
zfOYZ!X=(xxGc?AP;07pDA!`r-01zX0F9I4zoxM;5v;o=~>w*TIJqyAUaA=e_C?G59
zQdgopf_r@T^g5HtUPut_sZ$Bzl1|~Lw(RrBZB0%gp<?fbUo9*|p9Ft3dbqKz`A&1`
zYuirb!ESHwOOb>5q@07rmdqdoe7}{T$q|}%B5B}N@|%=i!S$5anMP+8_&qh>sh<~m
z>06`p2hLz`ZQf_rOhNEb7Jmz6MBr*0-bJ2uhINa1t5iYX$%CFHsMlCq>$8b#@5wF-
z;+A%9B4nQVl7~+5KvLf;S{1s_FEy5|7{fjpcP3xTTMz4A>dj)Q+00ycI^KJ4?S_VP
zv9YY{60$P8>~lfi<)CYMqITU#ZM~-fj5+fOJRqxbC|ikKP0x-OF}_7erAGX%5+MM@
zo?wh|HIJN(g)&|_@5SocHkmvb9O>RC`0o4z(dHcC71@2W@UME{nwRPH?7vsCPjScZ
zaOEs+uL)Ns@%KO9KYo(!carw*+Ue|l{)2C0-@b|XBx~=_t*@oeri;6+iEI}&Ele^A
z-qb1@2+J6#cMm&3v6p6>-iEz1j}%s8xg)E2iH3<yz56$sPiTf#H=3f(C;7C*mk%lQ
z2Bi0tc7D!t#;c1?bjc8u6|GF`qmHJ+5P1!nxv*^k5m0-{2>~I#+EgB)Tz?{}pLS?H
z!JH{(!U>YV;kc?ZEhUu8d#Q3>CtI}Lh-rAV(<xG)6k`wF31f};BqeZ9KGRF*YE2J=
zX4kM=J<q!Adz%c5>Qdde<?Z=bs|LNQa}^{y!LJcC4758D9`iMwl`kUMd1)R7jE9}g
zV)pDB=?d9(6ePWA<vMx7a$AFIS@C_D`gq^P;MbLm@AHEK>L4_i9q-R9-a0-dR=!>S
zK>)?_btf8aTY?@9-F!$`aSjYud~Z}hs*-#vo0HcTRcs?-AP#BrZl-vm(tpdcP1frf
zE1D~X2%u(9bcI|p6d3Kj<=L*=!4<DCwCI!QWO|#N@!OW|W0N$45ao?fme-X}q_nN#
z3iqXF|5ExAS*&-}Y2%^vhyXvUw(aFcAM^_RLQ1S8VfrA3E6I*l==5l-9$o5l9cU;Y
zEBSyUmaog@tjVT7jOo}ig3C%IwI|wHd-lX!E~EYQqzJ%pW__<&P*FCh&GQ?fxpjqB
zyD@N1-|YH%U2u_JzJy&$+(pp<<ASJXW_3D=@!W`fW-o&l3xe#KVFosBzSE43PM1dP
zlyOP|8i5}2rR|(zC|$;|M7ohw$z;7MaGk;Bq<7eiZvCgr6gB$c+<@8!;)nv5#bq8Q
z>u`owW>Qb<n65L_A*uywDQQv<;Np%fa`nxmjv6T!cTE|I{Cf(Pw@8hRK`EzTlOgP4
z+DN00tIT;XPWd-#B16O$qBcxFhXbsBIjYe+f_6`<BP1%mnJ@NA1v`req*zs*mQ(O#
zDp4ctINtNS_E*bjJ$Hv?Sm7(w@e)T}8)EV`TYZfKcRa{tl}*6jo{oR!FPgoWJ)gHN
z;j@N7RqT$}yKhG6%BHC2J#s6o!Pd*ydD!QD%Q|Bn`dqO{dRl(g-p5aq#px#!Z(DWD
z$AkQn`b-WU51o8_-{Zy>DHbitY-?0UjO4cDcqvNo+Lfu!wurkq^hAir@!01Naf>_r
zmSH39taLIjrmWC*jVKZGYMpYFt_7ol0^tUD+DmyY@{P{pg~CCrjVStx7NbWcRSuA0
zwK?@M&c8iub=&horRtUSs|qXLPSZ27b*mQ28+^WXe6mi=Gd#bxyctaQ5%$PpOvTg@
zB7rbS?_OZcQl|$;Ull)zoIhUaO}yTWyqTA>*PXsRV79;Fkb73ivr*pTi<!YOUr{8F
zbK0{ZdcUg%w>MrRudtlDYr9Vr8ZYej(2gZF+wS$0f0Ab~uWt);Nn7R%Z6Hc!4L;iv
z>+KL{wZqW!&SWvuIBcqdXE@q5PCgh#`p$+GAo<Q&@%7iovB8Vsny0er5jRcfchwrP
zhQaxZ3@@AfdLT2<Cn7%AMBdT?LQ#%dFH4BZ8Vc=e;?}Qo?R;hBx!K&W`4w;RC<=bP
z(`HBSE&<MquQQLK`|ARN)q(#M;><Z^PA~~QCZph}VaMYXNJC;RCU3K-{7EV29ls-1
zIjZ>~=w4)BKMc{+b_wIndhF}(Pd@6rCi*SKX4;os&Mnw_ShjlX46rCEc-PxLL9dEH
z>euLBBL=z2I9N4}L=_Dd34QjFh)9tfuF=DI{jQJe05cA_f<dLvuJQB)s$p#XIxl=$
z^RW^JCq?m-h(bfvQSTy?Ke)Bsspr+<zpzOR4YE3TF>~8+A(iYIC2eVM_8~4DOrGaW
z9q^I%3qYO=+#%%4X1ED&w6t(!f8mRd6G|E|krqA(h|ZSD%YmiyvV-y4vdlz%xhciw
z=<!<r$4p6O=`-loGfw2^8Sm$+ci+T4obFFIZD?NYnqo7QRWQ4&@zk+;M$di6`CTa@
zAt%E3P5=2yQ7hO*asBkAqO&o(QjBDU5W_ONvG@#L2yS@a){RB=qNTX><mCNfb0+fu
z@v(UdWb#=*m;9$7SFVqB$H6zYL)JTWvY~tGa#u+9<9BscxtiiNj<t&3X`VGZZc?4_
zR(C}V(?DNE0P@M4BduB|$xg)fwsd=PL$XZZ&ArVV_7YX=XC7@fAx-!UkTn^yF**p_
zf^xC=i!+g6wq?%p{7#()S7hS3mG>g!_n6omwdM-#1jk_R9c*%u53Wp0W&1PgyuilV
zJ3|^&%jNLNsW4cc+}iZDr7UQFp^Izxhe)PEg4>g{MVD{<wtt3H2#}N3pIzWN23C<L
znDUz0EP4+D9oml?0gVoa-EfSeFeDirYzmL52u|BA;#mnX=bj2P9Gqs|sktS(5jVCe
zJLIYwIBm!t<GF(@JzLP2^i0Gg;Zb}%@`>l;vgf{}-Lk5e?e8(_Uda-s_k1&2gPdC&
zd34x7x?I+ey3S<A#!ou1C}9M3$Xi&(W}fqN<PO7xHr##LCd0{9ZUJK{oZ7b!o|~pF
zkQ4Xe#rJA@5-2q&{#t<{N->33Vv<1QRx9zU#Bb0>NyBcZkFYfI$!86KSBnL6TxP~8
z<}!`sL3~2%U2Ew#0h#y$;cF>9j+{2pzU#F#(vbsKk;l_4wHo;bFD{bm?@R~5%7$JE
z1k>Gp!+BpUDJqj)D>eP?odG*>wJ#yb#e$hD9$Ex8{VW47;n_GO!$nck4b=y3aQv4s
zyT3E>v78lY;YO9UFDSH07QL4zPIm#u47n*^UpclBIix~@3O>Y?bi9_rKQ<CJbCcJ9
zl;hw3N!|0eU>_}x(3OznvWSS5RpekE*kB!6$FpIY=^s(sot_0Ra%9Y|-WiQ~5jKSB
zwi3LSCbg1+A8(CtVtrsfQ9iz<F>l+QVHH<HR^NIS>%HPKS`oS{FG^<a1G=M@GMm^^
zax<@jp<m=Gq$zq;@~Pyig13efb;>>SYEH}*#1iiN`JT$_f3hhp`p}DvAV1G)U4=X^
z-TO3U?!&sKDS4m4Qt13bpHODb-$~5^8ycI7QJn~BFJalL?GMmD{&32v9IKW<Tg*>z
zi1Fx5q(V(!k7GVc$GI_qvzvfPUB^|goIUR81Jcs6URH3TUwJj_>%PV57gIr}0u$H`
zZ`Alsk#nG8jg-8cF9|1!-XE*dr1h)vPWVpT+)o6zh0Jw+t(`UXx7|;rP;{DX{IX;A
zODDpj%R|EjLNB)uCi=JWsI5gCpR;K3Lu~|JUOn5o2v2wp(Ync>H>+jzptB+SVon2h
z)#9ye-_5}EkhNUM^-}MmoN=sEJING;#<={WhN)kNI{HvNAI?<y3|EIC4h;^M@SigK
zNLU*N5R7dIR8b9RY90dA0YO2j3jm_83qTcNFf~<WH2~s_`gcJU-ajm1KP+KKCNSXp
zKkA$M{1Z{-XG8#Ed(#IEK#(X`^igyq3WvrJ0N78RZ;p0xN9kb$fGbo83aF|oB9!1z
zI2=$xC@QI|BcSSl!;z;x7DJ%A;(^1q;d_r@jKli+{F27^SV!m&zBW__I1~o&a~Rk8
z<_}n(iW{K)+?~<Z#(Ia~_bedRXgt;z=ZwY!ho@%!OHPN3e>5xq=7c|@cHZ3uPvw7@
zw)Ic8zK3c4vVrO^8|YJ;7y=dt$T*|iaaaJR2!krZ0U0*}!AAo^J$WkVibMIhxjW+(
zu{c***`qK>9M;9xnc5Wn|K0wriP|sWzw_5e5l~)O*Y8_X>x2KND*yTf;Lz7WP(U37
z{W$<t6%{2F;5zURrUX}|mhEr=m>(D%p+vok|HYtC81;Dmi@^~v>Z$%0Q-Uh1{|}}F
z{~uo^Wff|Le)tk_D0eS3?x>TraleJ8Qa-%a)>te7I86Nebuq<U#{!3CII1h2fWi@u
RGE`E5DuW~?4K0m8{|5(kP<sFX

literal 0
HcmV?d00001

diff --git a/images/singular_homology2.pdf b/images/singular_homology2.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..76952e27233a2a694fbe7f2e279efea0cf87504f
GIT binary patch
literal 4211
zcma)Ac{o(<{|>1PlI%jqzB4n7Em@LXZ)4xfU@(krjKS!&uQh{2g=D9)WQjs#sVEZJ
z#!gv7mTXzSLvOuZ@AdoR_gv>X=REiMe4fvJKcDBH`v}4>Ye_<+U?9QD#gZM63;+f^
z?Oj32%7C;1(!&|+0?3jfBM<-p(po4q7KtH0(FiQ^GSb1*5eZUJ0r_AtNQ67c{{hiT
zKTc4Wad<{_l~Q2k;DMch04tULYs!lz-It!SQqh*gr&McC7JhYdjey^)YhPRTl0VRF
zf2ytU<5lnhW`E`U#O{=;_Djqo=SEf0j3wt6t_IHE%q4zEn8!}F|9D@Kv8X4Rj=EO)
z;k);Sct2ifmuWSiU3}9&AJ1|st$)@(sl;;Go?wo4Mw`!5pY_S`=Otj`#O;VTh>6RC
zFQ?gsduU)8WjgdC$t@f^uq>_D+x`r0Jv3+DrqDXdJyPbah$u_~Nor)_wK>eiw-l~F
zuBzx0rxziWjJ~z3w!Sfz$!jVBS5>dZzJa^k;t@AQkvK<PJFAik{lq{%&qyCXl_=PW
zvP-1rU6;IS#gCA&u(CIP$=MgR#;8<v;sbBJkcU8&c!M&`M$zcHPWZ+arYVG`w%IS)
zUS(^>J7{O2RDN^zdQg})|3%Ic?|rsc`!oj!{VUI3HLFeR&KP#6X1sc6D18umV6uQG
z&}gWP+PX$uwHlHQp*2SRMa3S}f$g@-{Sbx*U7)qgqzUJswX5TcW~a9^88DL_pDuf}
za*XFmUboNN2&M7es{6;7U2RN`-9&jnmwUl%+#z}q2Sf&z$>dwa(`!~8w@!D~=DnB=
z8Ckt`C7P-*&yekW!#GWgB6lX6W$B#S!^U@7Cl@OF-$YTBJcNdRr(irjq<F3d_Zh8b
zv-W{{*Q_)ljdfLYGCa*g4*hCxeK+OCi)|5(D5Fe`cm<Yt?wYy`RBKFJ#u_qYikoVR
zLp6&Z`3UmjWH4PtlaSikI>TdWTo>8h%aS8A5-34advbK0Ewne)3Fpey#ri{bLMLz`
zdh=J_emTKA7<h>)HZ0g&BgusalPiC&YW%+a;In(`-kINwqF2O-)kL`ZMw#IqZ7%M?
z>Gm&g9{SgXGJe;CTyTPh`?>~e0@*p?;K3%mQVC>HltABeo8|>r=d;c{REqn2L~DD}
z@l;CFeQuWgvAB-{{yREMjtrgjD1JWo-2(}VuP#e)hQ_s$HPw^e+L6En@k9W2$|@Dv
zv;Yrn-=%NtWX=j*7UiwB6YP&WmK$1D!DWc&BwnhH8DU;sVl;3bx3)5xEWpGJCggrO
z_1@y*JD8}}^zGDo<^@IR@aIqwGo4Zj@GUFHYwrav_2rwO?>E*nr#&SlBct@wi_3Y0
zS1GC@0-){0;rL>c63U0YtCi!~uZf=81-zLoG@+AP&CO?Md{50)U;6vCdUPHw=C6G#
zD4##LlD{@jk11!lg_mx>AS6RDWu7uQDaOg=x_(r}xbkdceC~JlsA6f+Qz9kdM7v-C
z-Li<S3og8RWjmSg>5?vS+!l4PV9I5_7N!^=p|Nm6jA80ZmG+a@4Wz1O1CGVO9<lI7
zNZmy>FSYW&sqTtsGn760R&Z799k&uIBC3hktXPV<XtM_4vYl(LDKHhN#H`l)28xYU
zJw7%baHIb{vGjNwiGCj4C+50G(_d=M>0=$5A{>~lInV}WA`Evo^~9#&j1VVn%(6aj
z*`Z<Ufknb?`N^?J>4->&Cp!q^)tUV{T@8X|p}{;PyU;4$h~-(4_rRy3?5ecAz@(@g
zzX4s%54{Ja)#u$eiRq`>R9Kg`^N#a}PZTKi1H&ZFE_2;EcabXOu?+%d)@D?Q^=#%Y
zb@o8Bok<{Zkaod(njvMQ#3|$vtU#GFJ5{hbCR|pt`tgF-jeUv<NT=3C4qsTy(h7d;
z%J`Ol(_b0It3pB*4%*7j(~Nd<s5tYCb&d}_OHvCllaDMK3Euo?`?@r`8hM*bIRT}H
zGMr-1on((db}q}rn_(Kq(dOCgtqrz@l%fKKq0u^R9<AV%Xq*%K7@b`xr>r5meL=tv
z<BZ~CCY>YQHGNY6ayS2&{VW-e(?P;NM=_6tNOn7@;~ok}3OH^eb^A!}Q_){7Y8JUP
zgEGV7{CV@&I{Iez)mJ!rgS%31hpb1YH_E2vWYRk&a6PL>?Ro2~lKA}%I~nC2t)@@Q
zwPa2kvp{>65cAE6lP4QY{Ki?F8gHfust1{#=Gg6itJXTs)WLwF$&GHIEIt4Ei@yYy
zVx1=6cMB0A74%wykm9!j&3EY~AK#A<nnde(#AWPRaL3NcRth+RC5HAieS^RPlv<+B
zt>QN6l7#)LPq+K-I0b1A#QXA|GP%rkPFw#WMO65FSStGlSElL8ZdKjNTN>TDm~f?e
zmuFQUfDpc28Q1nF@>~^eJz|nlt&N2<kvv>g3V5X;3`y*6-5T!G7OpgBAVwq3wUwx0
zPN+~WtGmn^!3Eoh;^FLqfqpnFhZ<98wOFz71@=A}d%^1(nwVVjj*F6g)h4h%^R9a)
z#S*B(dUE&<Yt*%crJ5vM2-3Qo+hVEZ%4!AtxgqV3TJz9tLeYBZlVO=N6Fre?mV}cn
z4ttq@J#ynp7jrYTFaPwaEWFU<<HnsB&KI9EHr8{}!-Se|s6pM9T!O<Y1(iV@X16FW
zFc2i#hfnZCj50dL1vOgn?>6H`&ZODHOy%S1mi41VwC^D7bE<k~d1yMC3Cek)d$url
z)br-FgmXg*Ez*cmhl2)R4J+wmbGbCN&ViM;tqQ0If?Q5KunbQVmtdhs*_u6G$C8Fe
zl5Aj0Zp`Uru`g_$rEU~q*`xU)s2r1BPRI%u*wao?8x-`(K5%<a$I5$!BRK0@_#`p#
z?n$$htA<0N^Dg%j_onzNa7vWELihcEIjteT*K{SL?OpF&yUj?AxK{kBW@fkk!~~p@
zsS88b3eyibJnAL9;xyIRqJ;Ycmb9X-8WxO$gF#y5BMx}_oK9)WUg?vuTJM5#DeFq%
zhRet&7g_Uj<W!bb^hH!+2CT*Nd-f=k5L#nfLw;Xhal>vZRnGNnq@T2+b81oJ9$34O
zWa`Czek;p9wMNx<GAwqNSyF0u(wozEVrx8Buqn2{O*tEzWcZQ2jdqBaR+T!-t+QK@
z)VV?uA7c1ed~c#M_G3)eet8~{Hj<%)Y4j<QTnSN-2=o)kdkKCn+e$r8&-T8JC+^m^
zL=dR2I_sXDMz%dlD~fkuX`5@>hpq>|&9gp=7PWuq)@HY3oFz#zSWLsdES}l&qEdW$
zyBPb0ZGNPcx=l%Ska_k6O)B`utM8Z1?t*uftvkEu4V25(S(zK6l#jm_O6+jBO4I7z
zpQ-*$eK_E?$AsEtQ*O(a#Z#7Lg0Da8OH}6a-(1IUFMC@Fl&{TO;4?)92z(-Xgf?C{
zU1jc_QO=~TOfBsn5sx21&%}GP<Rs4ThFi8xp16NCKsaGq&fpp*=Myl;TCFplLUATu
zg`2O>g7*A5`8-7(vDy0x$qHNMX-r%fnHSbl4wiG1C>HzXQ;Sr?^5-_aHF^z$`sc&c
zD&9o$e4-xd!4LN6tY-9FKSRVSZ!joT``4@GuM57TtM9X%_LGd;ftc<dZ!bJCGF3kx
z*)G(Qf3;GnV!(Lu!HqhVsls@dr#{1~I=8A5ZzgazjBQ&-)?|p`2?j0n1+YW`-RGb?
z9G-OSYm~{(=Gh5}wgZiqP1YC6z<X~`<XZ0KGc6z=5BF5hBFl#HAg|kOBE5r*+AUX9
zg9%Epv()y6LZ%gW1G?@9TBHq9yL}n{M0?gVYVc;7X&;GupDNNB65$s~TZgt#D3l#H
z=1_5qu5X`!<6&(x)3JVfzWFQQ87=-gzWGKj<0#YBbxNV|;p=cB>s9_&XxE}oU08v}
z{U*QSWclr554z*7+@5KoJ2{FSju%9UXnTD7o8Nc<Ix>L&${wX~i^TOMHi6ol?_Ch5
zQEv+OW_R)ohmWy2$7Pwp+U~*75WSB!7dg8DYii(H7MGtE{dVKZ_mi&m+>+KL=8e7>
zs_3^+fxuT^cL=vqdxghlmi>lRncFfm!4f^PCgD01=RA7RMtcUOropXJ-PGMH3m^KG
zZ2K?9v$dPO94KZRR_pL)^tlO12;{`&JZ`ZxhWxE1xcdIH<~@^!K0oL}|5%nz43ttf
zW}nYZ$SYd-#Rq_%J&@SK<iop2*raH|+n5sF%rk=cYnIErD;$k|30n0PcC7UBrMF?o
zF_oS9sn6T>W&1>?z+C5!wyJxZ-A`+=^pkg5CkF!3YJ|+}ou9hP2Rn|2?i;WP>EhOg
z=-0;h4fygerKf;x%BAIfH`CD1CM5EQ;OL1>8|d*1oSrol0jm8b;URRKq5jn!v?)(k
zV*0g%R-e?`k8UmBm-V&nh%2e(u^mZdOLkd%`ZNhlno|`PsWA)c*AzKOqrQ8J(zbPL
z>-sa!&K`B}Q_X;P@Kkzy@3n8ZkJi1l%ol2YtnQ1>28Diy6LA%J>SHCT59iM$&1m4f
zo)#)xE1&xoUgdRtNKf_r0hQl&<#7<w!|@+`Lw-9nMu%?b@JaSVGEfEC!+^sn^tW$1
za!Q*1SZ!l0*(CwW%7*}XNF%`H2_UVZ4uGW~5P3OSc|h6$@$ZD}q<%$0enmo#LLk7;
zZ{$1q`lll7cSS(jB)|&^NW&4%$fN3T1P1AW1t7nT+ZCiE3USHPAFw7vU_eezN>K(1
zhC%_DqLhq+f+AP}uszDu@btivQ+<F#ANbSsX=6Nnz5bB#v(^#%i?1=60S4jW<8@fq
zA>bFRLB=m5aVQ6*k@lrS@TUrCBczX~FUA4s103#}(I1))8UJ#h|7!9%qNa~>^da*<
zlx_5zt?!}CKNgVtV*w4aE5&+Z01*cS3gZbtq#$4^C?Mj3#d;}8lXspBI%5!CE+_{d
zDNl^EsOV7{IL6b_*MaPE|Nm+K_C)@V@;~`&Ag~Cur}NLH$^G&9rz`*F_+yYxATXc+
z0{<R>91JD{1Dt?=Fd2C$S@z)oJbq&`ii-cmz+lM#5hqXHl>g+yAmsl32a{JMAC3QD
ziV(7*Ul<mHK%tSCqhABYC_Iu(`S4g9d3s`jL*YM<i>`;0Cvez?qrUoJ5g6=|LK#Il
NMUbGN=2b1w{{TsxR5Jho

literal 0
HcmV?d00001

diff --git a/images/singular_homology3.pdf b/images/singular_homology3.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..bb537e7e70170fc4aabdc876722bade705e21eb9
GIT binary patch
literal 3935
zcma)9c|4Ts`>vdlIhe*S;YC@F#>^OI%-HwrOGpxi8M_(A2n|BX5~3*CvnH~JLL^Jb
zmJlbh%QhjA?bLVZwEWIrzvuIQ-uHd3=U%S+xt~9t>y)vE78D^R3p!OvE8YPi0XRUi
zcLgaZ05E+5(TU;=$j~8E5C8x$Ef;qRflU9p<0u3Tf&&Rp04XVfyeVV?&I9C^8g{<D
z_>??kWJl69Mq|Q%^U%qYT+i9cRKk+Eu)eEyjmzwid&Sr<ml#|tKSq|n>J}oGF5W!`
z{<`yF?B>|6tiY9T=gzEmW}kqjl|@fYo!Lr-{+aKeLm9mO+Ap>;mZOIQX`(}W5*s9{
z&*GCVnJ1FrHJe>kaVH?BV%)?)37HP<&W=VVUh1!~Pc-c=2MxB-j{2uP@}88_d!#Mk
z)EcySnqkqtW$3`Hvv&7~he?c$ri<DOPJ*10cQCP~fU4pw?*(iJ=2dgEPjQ&PQ&C()
zddw~JHgxyX%&~j&cbfz}j*&x*7ly^~Hbc)^D<%h|)~p#Rv|daiQoVc7uFh*ZDAw?H
zqV>%_gBQj^N=xxZ!?@-bV~JTNb3y%4)pG22=8Q{Ur1s`Mw>Vr9UBPYT*sC&BrQ1zz
zjn#a6o{H&H;2Ugel^C3=5G$FYww<l-<aD%M@d#Nh_nap`5B4^d*Sp{HCQgx?tNsDo
zMSi>dPTVHoYxSs)Dc0@=p;e?4ZrL$gY^b9*Si{K$3RVX(yT{4Zh-%%phz~e6UGZ4?
z_P2K>sr6TOp>ru`#{9ac#{9PBcfV<GuGx-P`t3sdr@p*|Y4=Urt{GiL&RPQ#>tz__
zp3nhOhf!G<FZk8_0LDirYhUw&7gKxBP#7T=e1^U}&5p-M8wW-nzTtNif@u1d20D5*
z&#^W%cWtP>GINqoQu{PYVGNm*&X#XF_L!;F*ErsK=o+av@A$+ja<GgSoIs|E_e5H^
z$brou8;08!`1>jAcxR84^|+c3l`deymhKbQDaA<STSq1TFi*;?dXW@w>Q=PqgPBgS
z@g*6(Lou^9(jjLB7kJkn(3%Bko73Is_X(|siGMS+DxhePK#0_(_eklor6%fiDD%hu
z>s*ope3~m?V>Ss<Q-%R^Jk*BBn-{5R;I$j!;YmhJ+8Cww9rnXtDZ3Nx?^;IApRQMm
zm_URdfUXOgkT@E>o?m6EJ;;@NkdZ0m<J{zXw#Jpk1IlgeFRg`zK%lOi(Xg!CddAk`
zb4O-_KU-(Wyc@se&((#ys*majex`KvLhlgReH^W)Gw}7sJwYw8rx!`daeUA)D@keg
zTWxK8XGKfdj~<dAuZjX*-Y>=KKO0{3c+)EP6#b%=IbZQ;kl2=}5IYuhtncBtz>$>X
z!)R#(+-no(=2N4KCmg@UpPZl^H;I6L6`Kjl`&g}VC$w=WV2-J@&2BT7=jMyFiDR4>
zRd~x!w@4kX{uIIZ(ZgQoU~z-0G?hpHgGPKHF0#^m_Np2cjSSW;G}GG98)-qbW!x2K
zMA(I{tRED1>DJ)9#nuY;>+xlmV}%XP7n;{cwwtH1F47p&?mGRQRK~D%Ma7+^I7VGq
zyCo`0V+~*%e4RTN+`!*3Cy9Mt_Biz+#wUsOwycn3J_a9o{Eift)hR6|3!(EY*1{ed
zG=%<aV(i;yG(%)dq?=L_!Q^9(qkEmM1y^2&uJ(`vOA*E`JnX=|N@mlfT>VbnXCY|F
zk;e7{E|>_6sF#%;P!tf)hEcv`D6H&;kpD~DlRxj;A}wT+-G;OTmehr-gqGxQn-2$+
zmy3m=zn}}03qP~-H{OV{A6+#5Xh&m|wPk)2DYMD2<Y0Ac_m8B7LwWE&QHl9psF}F-
z3_V5uL2*~*hcnDlXTUuycFN7#Pf&(S4Fg)qFYPO5redUYO#2kA5=Z8@vqrkat#2*<
zeGgKbc}yv|@?lh?o<WAF#Zk2i5xY8v%yVWBfcT&b^KI0e6x(bo1#L@X2!xn=+Fy%@
zwOAe5EW_u*v92>V_G~rApr8+e1uJ~BD``}7Jf;Hq%IV`cz}PL@KRTF>!oQO4(Bj^S
zs{GUntCAQfzw0OxAl-FffS8ak{cipGlyP*0!VJ#ortpqjC~t3QMb0vA1^0meV`imD
zIofrC&sPI#T-8^Zq|SCz!fny8)~h6om}BmU9)BS^3ZJ%GcrEdm!Tnu@OKF15gOj#5
zXeifHSC%gVN+NDxR3i0=aB2-i{Dz@~_0B;_n8Km{I~`Vi(wg&QLyZ@cov3M};vs*2
z)hx+y0VV6Ng``21`(?D;^oqjFpixT-eWtT0PsnBM13aFkCT`c1fkKfYSA&78{+F9l
zm`%hHdC-&`(|qb<&oXbYp<%-FAaojk4(+q(bR(wBdaX;TNPkYXswvU|uz<SuY%FNG
zrlIgV@lX4*ECT;L4PkMywJ1;ou}eKW|4#q|@xY^g&5`>}pzuW2H)hxH8?jc&2U%nu
zdYGZ$_pt0`iU-WDQ3$&+JRgQd<pneah6qYx1q^Qw`}8Y4?I^k$8-cyjD{nckTD=^>
zYn`2vT``b%!H%(7ePjIb?F$KY*iGI7NVzIyS51i{K>{{zEE|VbreH#OS#+!LqoAi=
z4ykvo%#oQ`WSm_Sa;Se<(a+e@_ClrDCpKJxB3E8E@dP~M6bEcYYqnCpj(X@CPOD+{
zi(vCNF3(RQKF5v1mU4r6J7YtRl!(-4WrZ%vjjJ|oZTSzx!}Reldy-K>t0#2N$+6av
z)#O$!JKQ+553fg;)p?nwG@Vm*PEEtqaHBYisZP|Dni=W3#LXz41=3%d!%KSs>ShCP
z_M?MVYs6;D5$4I$q3hTA5<S2#%>%h?4=;}NQgP~8_B5^Q1(nL5v7H}y9%N5`3vQjO
z;zTTO;!AhT?^AKeO3C@ns`RPxBjios-FzcykQxU&y|}9{(Yq?@++7ECB{DUYWLI44
zXs+PFs~%ixQ&({po>$mN2sW$L<e!$BG+AS16pmVG!xFXIq7+5A#_S86F8VIbZ@qct
zf4i-(#GySTFAg4=DUPUT4Y5BecaEvOnGtcMLkz}n+jz!Y6q@gob_Fg;LP9e_ZDhJo
z`ooK&xvG6ouiI_%41moitVU58mks)(uD4}DmV=tbWMjiHrtx*IU4GAQ<BdZ7_gUMN
zv?ArJ#c!6^RR&Dz(SKi8sk8K==x|ZaQXdz_PiH8+KNiDLyc0r{vLVH}1eV~BjP1Cu
z)pAVm=0(^B`wwK+j#R#Hb7v!N%M>EfR69*nICcA0iBdK-V?`m3!%d9yet}+*c2J>l
z&x5R&Z5#qmisDb|TsP+l6tjDt$?aTM%Ndriw7{>gS3RZkPq@Q&49l77Z3D3(eB{W$
zQ|EF^qT=BvZHpC-w217L-kxw1F~~E;0`c1qHQ&|g=<`>Z`Zm@emYW3oY3T_bElq#9
zErlwNPiitt%&3w;e{v@tsr##m+hy+EAK|wOFDRjn0zA!~j>EhKWY*-%1v(LLOLgnT
z#_`6je6H=2E_cwmvr_yQ&#^7Rtlek<*+$PXw4p!zJvu#;3ZAjJ<rbXq_g<F2*KudQ
zeNgW$yjin(7Lgtym_4|WGkRUd$8myp)IS};s2t*;Avrukps8r&Iu)mHn>AS+jHvFL
zXn$Y=KG6^)JX_s+Bg}w6ijnhlKCNE9jAh*oE=(Ta{;;;foz6HQEw0S2pH-Z|b>EZZ
zczf12^w}0rt8beW>qM&mf<tCLMLSBqUw#!tj!j8A8y(WG!;%Q*PK%mHf=n)P<p*$=
zt*0^X{3CAx&5DM9o-t-Wj|^c{P?gON3<_SxmWT~%^+ms>;lOC~DO7*Ha)eYJaRfR%
z6o%dE4n6PlBqXLtV(06C?O3|enGM=p!xhmNxRalX+%E^rdG_5Uc4TF!aV>Yr_fNg$
z6!qB{R<JZHlgdQ9b=ly$oa`Si4LDhA=wGdYz5c>9Mx5W#sB&QG!C5M;@LA#^Gu6T0
zgvgKGR*Q|0f-jX`13cNW%1;-lE$-OkGqM|xB=NJOg6=N|GpeI`XFTRR?tD-uXF&``
z1HK9(l3y?np26NwzZ|G+?+=Whuibv#;EK-7)w3IK1T$B@6Dk>=7TQ>`YY!SK_V}8?
zQO6ls(>KXj4z|&mi@T{+fUNoFP=c@eC6^v{qq618bt00N7zDzXKZmaf9!h7B1rdn&
zf3NcNzdaGKck|!-((nFAI9zVeU~ek@QzPuF0!=@P_E`#D5daDbdjNgFaB%trfT^nj
za47@=jgmnFFbCYP30*b(utfZ@MC_X&fbVPcH~slHqwLR&0L;walK{YsaZZH&?8Z1U
zfk*)mKShcG0q=rSBl!Ur=nx!0p`<WKX}GjBAd8Vg%E@8ia=^uXPjwQJLU;8B_B79T
zful_(`FQ?T#`j$N=nuYU=?us?qPOQ>UI+glusR*rAY5{BAed^a?SbE`fSD4!Nj_u;
zf;X_YYo@=|w8!{|()v}C_dYc}7rZx}|6bXqKiT^1mHAr$)NcXQ=?aWOA_L+MI2SSr
zKu96rQqq99Glk-bh0%AO4my!>p3W`~-cls8lZ3>68e=jE@8dvMbpL<1Up+zpmi{|`
zbsPofPICGln%*Dpf4lO_$B#^K1i=A05d7x=P_nW}S-=ta7emU(V1WHqfcO(bNYi_?
zH-2GoID)=C{})3d=obIQq>*%{|FM%r(2w?iFq90vBR?<-8Rz0oAn(iIvo4njbjo|j
p+LT110DFahKQ1~%M-s5thW);JQ*dO;euYRB1_?TKO4CRS^go85z;yrs

literal 0
HcmV?d00001

diff --git a/presentation/presentation.tex b/presentation/presentation.tex
index e81d276..49c34be 100644
--- a/presentation/presentation.tex
+++ b/presentation/presentation.tex
@@ -8,6 +8,8 @@
 \languagepath{dutch}
 \deftranslation[to=dutch]{Definition}{Definitie}
 
+\usepackage{array}
+
 \input{../thesis/preamble}
 
 \title{Dold-Kan correspondentie
@@ -49,7 +51,7 @@
 
 
 \begin{frame}
-	\frametitle{Is $\Ch{\cat{Ab}}$ interessant?}
+	\frametitle{Interessant?}
 	Gegeven een ketencomplex $C$:
 	$$ \cdots \to C_4 \tot{\del_3} C_3 \tot{\del_2} C_2 \tot{\del_1} C_1 \tot{\del_0} C_0 $$
 	met $\del_n \circ \del_{n+1} = 0$
@@ -57,7 +59,7 @@
 	
 	Dan geldt $im(\del_{n+1}) \trianglelefteq ker(\del_n)$
 
-	Definieer: $H_n(C) = ker(\del_n) / im(\del_{n+1})$
+	Definieer: $H_n(C) = ker(\del_{n-1}) / im(\del_n)$
 
 	(met $ker(\del_0) = C_0$ per conventie)
 \end{frame}
@@ -66,18 +68,30 @@
 \begin{frame}
 	\frametitle{Voorbeeld}
 	$ \cdots \to C_1 \tot{\del_0} C_0 $, wat is $ H_1 = \frac{ker(\del_0)}{im(\del_1)} $?
+	\bigskip
+
+	\begin{tabular}{m{0.3\textwidth} m{0.7\textwidth}}
+		\includegraphics<1>{singular_homology1}
+		\includegraphics<2->{singular_homology2}
+		&
+		$ \sigma_1 - \sigma_2 + \sigma_3 \in ker (\del_0) $ \newline
+		\visible<2->{
+		$ \del_1(\tau) = \sigma_1 - \sigma_2 + \sigma_3 $ \newline
+		Dus $ \sigma_1 + \sigma_2 - \sigma_3 \in im (\del_1) $ \newline
+		Dus $ 0 = [\sigma_1 - \sigma_2 + \sigma_3] \in H_1 $}
+	\end{tabular}
+	\bigskip
+
+	\visible<3->{
+	\begin{tabular}{m{0.3\textwidth} m{0.7\textwidth}}
+		\includegraphics{singular_homology3}
+		&
+		$ \sigma_1 - \sigma_2 + \sigma_3 \in ker (\del_0) $ \newline
+		Maar $ \sigma_1 - \sigma_2 + \sigma_3 \not \in im (\del_1) $ \newline
+		Dus $ 0 \neq [\sigma_1 - \sigma_2 + \sigma_3] \in H_1 $
+	\end{tabular}
+	}
 
-	\begin{itemize}
-		\item $ \sigma_1 + \sigma_2 + \sigma_3 \in ker (\del_0) $ \\
-			\visible<2->{
-			$ \del_1(\tau) = \sigma_1 + \sigma_2 + \sigma_3 $ \\
-			Dus $ \sigma_1 + \sigma_2 + \sigma_3 \in im (\del_1) $ \\
-			Dus $ 0 = [\sigma_1 + \sigma_2 + \sigma_3] \in H_1 $}
-		\item \visible<3->{
-			$ \sigma_1 + \sigma_2 + \sigma_3 \in ker (\del_0) $ \\
-			Maar $ \sigma_1 + \sigma_2 + \sigma_3 \not \in im (\del_1) $ \\
-			Dus $ 0 \neq [\sigma_1 + \sigma_2 + \sigma_3] \in H_1 $}
-	\end{itemize}
 \end{frame}
 
 
diff --git a/presentation/symbols.tex b/presentation/symbols.tex
index 957138c..5bde99e 100644
--- a/presentation/symbols.tex
+++ b/presentation/symbols.tex
@@ -15,18 +15,18 @@
 \begin{document}
 
 
-% \begin{frame}
-% 	% Symbols used in drawings
-% 	Bekijk $\Delta^n \tot{f} X$, dwz...
+\begin{frame}
+	% Symbols used in drawings
+	Bekijk $\Delta^n \tot{f} X$, dwz...
 
-% 	\Large $\cdots \tot{\del_2} \{\} \tot{\del_1} \{\} \tot{\del_0} \{\}$
+	\Large $\cdots \tot{\del_2} \{\} \tot{\del_1} \{\} \tot{\del_0} \{\}$
 
-% 	$ \sigma_1 + \sigma_2 + \sigma_3 = \del(\tau) $
+	$ \sigma_1 + \sigma_2 + \sigma_3 = \del(\tau) $
 
-% 	$ \mapsto $
+	$ \mapsto $
 
-% 	$ X \subseteq \mathbb{R}^2 $
-% \end{frame}
+	$ X \subseteq \mathbb{R}^2 $
+\end{frame}
 
 \begin{frame}
 	% Symbols used in drawings