diff --git a/presentation/Makefile b/presentation/Makefile
index 734a023..45ce559 100644
--- a/presentation/Makefile
+++ b/presentation/Makefile
@@ -16,5 +16,12 @@ haltfast: dirs
xelatex -file-line-error -output-directory=build --halt-on-error Rational_Homotopy_Theory.tex
cp build/Rational_Homotopy_Theory.pdf ./
+symbols: dirs
+ xelatex -file-line-error -output-directory=build symbols.tex
+ xelatex -file-line-error -output-directory=build symbols.tex
+ scp build/symbols.pdf moerman@stitch.science.ru.nl:~/rathtpy_images.pdf
+ ssh moerman@stitch.science.ru.nl 'pdf2svg rathtpy_images.pdf rathtpy_images.svg'
+ scp moerman@stitch.science.ru.nl:~/rathtpy_images.svg ./symbols.svg
+
dirs:
mkdir -p build
diff --git a/presentation/Rational_Homotopy_Theory.tex b/presentation/Rational_Homotopy_Theory.tex
index 59c058a..da2ffff 100644
--- a/presentation/Rational_Homotopy_Theory.tex
+++ b/presentation/Rational_Homotopy_Theory.tex
@@ -7,6 +7,8 @@
\usepackage{tabularx}
\renewcommand{\tabularxcolumn}[1]{p{#1}}
+\graphicspath{ {../presentation/images/} }
+
\newcommand{\Frame}[2]{
\begin{frame}{#1}#2\end{frame}
}
@@ -32,21 +34,20 @@
\section{Introduction to homotopy theory}
\Frame{Homotopy theory}{
\begin{center}
- Study of space or shapes \\
+ Study of spaces or shapes \\
with ``weak equivalences''
\bigskip
- \td{plaatje}
+ \includegraphics{weak_eqs2}
\end{center}
}
\Frame{Important spaces}{
-\td{plaatjes}
\begin{align*}
- S^1 &= ... \\[1em]
- S^2 &= ... \\[1em]
- S^3 &= \cdots \\[1em]
- &\cdots
+ S^1 &= \raisebox{-0.4\height}{\includegraphics{spheres1}} \\[1em]
+ S^2 &= \raisebox{-0.4\height}{\includegraphics{spheres2}} \\[1em]
+ S^3 &= \>\> \cdots \\[1em]
+ &\>\> \vdots
\end{align*}
}
@@ -56,7 +57,7 @@
\[ \pi_1(X) = \text{maps } S^1 \to X \text{ up to homotopy} \]
\bigskip
- \td{plaatje}
+ \includegraphics{fundamental_group}
}
\Frame{Important tools}{
@@ -66,7 +67,7 @@
\pi_1(X) &= \text{maps } S^1 \to X \text{ up to homotopy} \\[1em]
\pi_2(X) &= \text{maps } S^2 \to X \text{ up to homotopy} \\[1em]
\pi_3(X) &= \text{maps } S^3 \to X \text{ up to homotopy} \\[1em]
- &\cdots
+ &\>\>\vdots
\end{align*}
}
@@ -109,7 +110,7 @@
$X$ is \emph{rational} if $\pi_n(X)$ is a $\Q$-vector space
\bigskip
- \td{plaatje telescoop}
+ \[ S^1_\Q = \raisebox{-0.55\height}{\includegraphics{infinite_telescope}} \]
}
@@ -177,8 +178,8 @@
homotopy $$h: X \times I \to Y$$
& homotopy $$h: A \to B \tensor \Lambda(t, dt)$$ \\[1em]
- $f: X \to Y$ weak equivalence if $\pi_n(f): \pi_n(X) \iso \pi_n(Y)$
- & $f: A \to B$ weak equivalence if $H(f): H(X) \iso H(Y)$
+ weak equivalence $$\pi_n(f): \pi_n(X) \iso \pi_n(Y)$$
+ & weak equivalence if $$H(f): H(X) \iso H(Y)$$
}
}
diff --git a/presentation/images/fundamental_group.pdf b/presentation/images/fundamental_group.pdf
new file mode 100644
index 0000000..14fce23
Binary files /dev/null and b/presentation/images/fundamental_group.pdf differ
diff --git a/presentation/images/fundamental_group.svg b/presentation/images/fundamental_group.svg
new file mode 100644
index 0000000..234f660
--- /dev/null
+++ b/presentation/images/fundamental_group.svg
@@ -0,0 +1,647 @@
+
+
diff --git a/presentation/images/infinite_telescope.pdf b/presentation/images/infinite_telescope.pdf
new file mode 100644
index 0000000..88c3f8b
Binary files /dev/null and b/presentation/images/infinite_telescope.pdf differ
diff --git a/presentation/images/infinite_telescope.pdf-rect9055-982.png b/presentation/images/infinite_telescope.pdf-rect9055-982.png
new file mode 100644
index 0000000..d4fa8d6
Binary files /dev/null and b/presentation/images/infinite_telescope.pdf-rect9055-982.png differ
diff --git a/presentation/images/infinite_telescope.svg b/presentation/images/infinite_telescope.svg
new file mode 100644
index 0000000..73c1baa
--- /dev/null
+++ b/presentation/images/infinite_telescope.svg
@@ -0,0 +1,313 @@
+
+
diff --git a/presentation/images/spheres.svg b/presentation/images/spheres.svg
new file mode 100644
index 0000000..5e273b2
--- /dev/null
+++ b/presentation/images/spheres.svg
@@ -0,0 +1,99 @@
+
+
+
+
diff --git a/presentation/images/spheres1.pdf b/presentation/images/spheres1.pdf
new file mode 100644
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--- /dev/null
+++ b/presentation/images/spheres1.pdf
@@ -0,0 +1,70 @@
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diff --git a/presentation/images/spheres2.pdf b/presentation/images/spheres2.pdf
new file mode 100644
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+++ b/presentation/images/spheres2.pdf
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diff --git a/presentation/images/tube.svg b/presentation/images/tube.svg
new file mode 100644
index 0000000..b8799e3
--- /dev/null
+++ b/presentation/images/tube.svg
@@ -0,0 +1,185 @@
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diff --git a/presentation/images/weak_eqs.svg b/presentation/images/weak_eqs.svg
new file mode 100644
index 0000000..adc596b
--- /dev/null
+++ b/presentation/images/weak_eqs.svg
@@ -0,0 +1,142 @@
+
+
diff --git a/presentation/images/weak_eqs1.pdf b/presentation/images/weak_eqs1.pdf
new file mode 100644
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diff --git a/presentation/images/weak_eqs2.pdf b/presentation/images/weak_eqs2.pdf
new file mode 100644
index 0000000..03d56a1
Binary files /dev/null and b/presentation/images/weak_eqs2.pdf differ
diff --git a/presentation/symbols.tex b/presentation/symbols.tex
new file mode 100644
index 0000000..2f94de9
--- /dev/null
+++ b/presentation/symbols.tex
@@ -0,0 +1,30 @@
+\documentclass[14pt]{beamer}
+
+\definecolor{todocolor}{rgb}{1, 0.3, 0.2}
+\newcommand{\td}[1]{\colorbox{todocolor}{*\footnote{TODO: #1}}}
+
+\input{preamble}
+\usepackage{tabularx}
+\renewcommand{\tabularxcolumn}[1]{p{#1}}
+
+\newcommand{\Frame}[2]{
+ \begin{frame}{#1}#2\end{frame}
+}
+
+\title{Rational Homotopy Theory}
+\author{Joshua Moerman}
+\institute[Radboud Universiteit Nijmegen]{Supervisor: Ieke Moerdijk}
+\date{}
+
+\begin{document}
+
+
+\Frame{}{
+ \[ 1 \times \]
+ \[ 2 \times \]
+ \[ 3 \times \]
+ \[ 4 \times \]
+}
+
+
+\end{document}