From 214358254266d9f7345f9119b835d69c76024304 Mon Sep 17 00:00:00 2001 From: Joshua Moerman Date: Tue, 27 Jan 2015 12:39:07 +0100 Subject: [PATCH] Adds images to the presentation --- presentation/Makefile | 7 + presentation/Rational_Homotopy_Theory.tex | 25 +- presentation/images/fundamental_group.pdf | Bin 0 -> 6491 bytes presentation/images/fundamental_group.svg | 647 ++++++++++++++++++ presentation/images/infinite_telescope.pdf | Bin 0 -> 5236 bytes .../infinite_telescope.pdf-rect9055-982.png | Bin 0 -> 411 bytes presentation/images/infinite_telescope.svg | 313 +++++++++ presentation/images/spheres.svg | 99 +++ presentation/images/spheres1.pdf | 70 ++ presentation/images/spheres2.pdf | 70 ++ presentation/images/tube.svg | 185 +++++ presentation/images/weak_eqs.svg | 142 ++++ presentation/images/weak_eqs1.pdf | 72 ++ presentation/images/weak_eqs2.pdf | Bin 0 -> 1975 bytes presentation/symbols.tex | 30 + 15 files changed, 1648 insertions(+), 12 deletions(-) create mode 100644 presentation/images/fundamental_group.pdf create mode 100644 presentation/images/fundamental_group.svg create mode 100644 presentation/images/infinite_telescope.pdf create mode 100644 presentation/images/infinite_telescope.pdf-rect9055-982.png create mode 100644 presentation/images/infinite_telescope.svg create mode 100644 presentation/images/spheres.svg create mode 100644 presentation/images/spheres1.pdf create mode 100644 presentation/images/spheres2.pdf create mode 100644 presentation/images/tube.svg create mode 100644 presentation/images/weak_eqs.svg create mode 100644 presentation/images/weak_eqs1.pdf create mode 100644 presentation/images/weak_eqs2.pdf create mode 100644 presentation/symbols.tex 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 0000000000000000000000000000000000000000..14fce23788fb0f0610ab03579462ecac35265cb6 GIT binary patch literal 6491 zcmb7JWmr^Q*G51}T0oki8-@X97(!y`?h-*dB!{7-RA49pX^`%cZUm9;5F{T`x?3du zz$f14z20BnzRq>_+4o*+uXV3={+#b+3giC%X^<(T%%BF+(o$HgTC%3+G(kuoO8;YON$ODq0ZDy6d7Ec3qTalhe z8NV)1&Vt3ec1C{DXsVXSYzVG!=I`{x!@WyW%MDCQ5_cZqoyD*FfIFw`cRp;z>zTm} zJ?n$z5(SLC@~t~w4SoF?ul<3tm{Qg^qWRmXiG#8e)@_>MX#3ZolajM*&xiagdbD`@ zkMcWfas7VqE{jX?ls~L6E>ihOFu+*?y=Hia2W!4;0?u_NUY1N%NqSE}%j!E&QVVFy zz-7nV?5-h5dfaAg>$EEa|25t6Fw#M))dVzeN2C6ggR*)}2b59>l?$#}k>a&kdKF7K{Qurc@I4qZ7>aGUd5XyaiPS!0`xVPYHl44ii5p(NTW z+vpX>X0l0%l-iP}`Q7@>Tw-b)jj*oYC{#3aOnF%78;9ns zrhd~A&V4RlUdIBN0AmqmRNtu11@)^1oz!ndskc3$`eoec^t}JW-q&ib2dUOMFVGwa z9VMD!ydb}3;EFagA#^q_ zM@~J^&8w1lh$XB?i;rZ?>?C8B4{<@M@d%YAvBZF-ueH$Y8Wyx5haN2+#v9Z8>OvR| zJzd^^mltFvI*v3ZRZOrD8GblW*+?o}%liaN%wmqJnhK0jlr zff^UW7L2X=Mz1SrPf><;xHV$p@;z9v%#SSPoj61pTgPTN8@Hi`PA`BzDGg0?zO^ij zKC>Bu^cVtN$FQy9oTc0*ap*pF&k?(XJsc25>Lk2~#%$LjcOQZT4lXaSY-G1Bk)AZr zsYUn#S_E1E^TFKtmh7TG%(QthA}N+xO5{pF7cAcJ3Yl#}yYLpw7n?beFGhqcpdjff zCT|fC`j3scMxdB<70R3Xm+LQNBB|a_B1?1JUsRy-^^e$T%Fx<kdP* zF!T5A+VY2ZE2k_?%4PgQ#%TsWH;H4G4s4atq>htm!^od~i3Q{$ovTNjf)Kb<0<8(9tVL8`2;pddj9 zeIDdTVi#os5;<-oSl3z@BdaYrLnA%YD4br(3!nF5r*eIyZ*CHHF`LaYXrugrkNeGq zu4ms*)&_2Y2S$YWL0_dX)=?f+A~B!xN>sYuU}qd;dG{|<{pehkcq9_=@_Z@KE6zx5 ziBfBv7`K1lqE>+AHO7c`UY!$n#Tb^a@bp0&b!Z*>`_UrBo1-9wD6`Gd_$fc})$^r+ z<$8k5$No+YdeX^i!YIwm;nyzE)T)mLaomO;O!YcNij(U2^rFe`>ejQultAKcg#gun zG0E*gE>l*LYh-Histucr@6irUua#VhN5IP7w9i{AJM8C*4QjCSY(|bjIl1pQN_h){agH;f54=70a*!08WhI!YSf*eQCW5cshkeP%Y8qP zO5V(GHXEkcUE;)^&OG2ZS#?ev7QmuWUO3mxr@V3yi8&v;t6+{3MapODL;kpl|7Kq4 zc!owlzA$w`l5-aaYE7kkvS}^l)({lAaARFK%mS+U_Q#x{QTK;^3d*Ni+c;5+OB=Mg z`X7Jh?7;RmMq`dh_@3mx^bA6#n9Y5%aUVq59LXm%Cs-{dL+=K@WJ3 zyJ5(yyw7MdYNs2)IhR`~-6d^XRoq{oOk31PM8*y=lJj8uw(WeHAYlc^`eISh_lS0s zX>F9hVgvtY>vDhJbUPe+{Yc9v1=be?Z283Fdom;aIX$&&E&IxbU zuzf6wA$#w$&XUEliywi%>`2tpiGfyW((wi_FjfY*#!dRpBtXzeW3w5Y)fG#l~) zioQ0M2`_$VDbu@C^;>;gwMc7U3XHdl>1cSMfD2&Z4DJd+P-bw+cFPX?jgxl@Oh3Qc z2mwwIL=z=aH1kooa5#tc0~-%8HbA3d6fDUPa;4tg%C6+63{UG*OOJjcFA>MW?@4Lz zRmPOPz|OcW#9Ov*KSvViG8SYBpN~>f_!m_Ss)8m|PQN}kTyHK}q(KG-R&fQ3M@ zB`S`q0^R=imDCr}Rq z|6613iU$S!LRH7JL)I47Umd?j)7Q{;+f^h{b!#)-}>P)N}s^g2C~oD5;8>eq zQXq~Asd2+iq(bXVJNmr{Qt_U-MS?mpE?&^PjF3-_uQ>70eo2^aL}yJmyx4+7q3X(J zH!4~Elm%5sEw}i|I*+_oti46Dw?+@&fg9Tq89h;Nyf2j#|{3RJhwPxv)Z&(lXjeNZY~-Y zevV$chpszb6wI4ltg7NE4vy*dAh$X7A!jPBtB27a%~yuG$V*n#tVt0q7aPeLrZBhhq*EE5i@&8VohbVLSskxUPONj2cbRK);uScNx~fxnY9JvyOPY8 zo=lTEmcUJl5EDES2IKe1RtMB|aO@!;zw#+lGiENL>R+~ewsQG446{j|K>^}_3iYsbcVW@$MAUmYvanH%N)MYR7lM(c<>S-kMDsDllu zZo0u*mX=E4;Gl!kI(tsKwL(>LfoOtHu9jMIkY`bfHv^MkYai>6{bHVYL1(U@buwt2 z|I2E%P7YQqC~t{Uygqbxb-cTS~9BPE!@O}1hS~}IIP#jtD z3$vfoo2=Y>?m^Ax>a-A|>)17UB6=|)w62*LW}%+p$dR&($hjY_Q}v;RR0DKJzE~}d z+RSxBFd{P3BlXnj4--W!*(vd3HRq4hF+Xl|eT#U9gj1&me}@#~NIol7+3$l{#!NSg z62BUoq`PQ>%t>wfC9k0QuVmdG7IdZv$Q0pxH+JFz70fSJ3^{$@z`iM0&lP(B|d0)C?N6p3Im}6`ZYLmzKs9oM0|HgdGzOwzf{vL(XU(UpHu#@e3Ej1g0stlopL?Rjm4j>K@soL z+%~R)4~&@gJ{+Vy%f|QJ0WdSu*SVF3>WV!J=I)p~AC_c`t3IGk%NcvR*l5bJCIUe! zPr5q_thFCF@0G#;2AmnC=IdIMGs3iq16>!B8gcN!IuEwJ*_lSE{_RTFW=7CRch--| z=sKrV_to7$oSaK0>Psbj-0R3%46V0cxjV4cpQ;SFd#%EnX6yVLZ#@@bj9y`aM*=1j zoa-s;NRz;K2DM&oeG!~DZ-U8CL`pPLaVUEq@Efp-3AwSghhvLE(`I?(z8|xeFZ|S6 z@eNU|IC;=w>o#CGi$e++8U|wQ#(HiEWH}oueGUQ1v4L}8Xc=+h`(wC%STJsFDGkmL z9B4_h#4t|Dz7aY8RmB!NL!cYJGw{b-h+0Aeu~@m77*N5|m~57Jv(Sq}4fff7|54bC zm&X@id_p44>p{wmZ`G*?Ri)U$&e{t7;O`pt($%>ZviBAHNjfGUno`^! z^Y7&=Iw)-(#&x2Nq807PgNE?wMi6)!#q_AQikR@!^ET&Q9oR%673pb%@)}{t8^dC& zdTqNUHV%f_ZNhy|(XEixd=p>7by5Yq!4*rgadrHUMwqJu>!dDA6qs2gU-Ox`fz*@ha#Mg>a>d@2TCG@bROc-h>DO-B&K6DU zOVWuz$}n2OLe;Ygv%t4*R*fFw=^Bf+hvyyJR&q_0fY6KrkHt(8+~+2xFK5$`?LGP5 zYS?6D>)x*~wHPkhZ!3s;%4nj7tUW*`$C}6FDP*52)aRKO8cxX`_{y1!J9u|R_|!3C zgQs~4vs!oaOFvFqpYko%muG4|u(s4*b(tck;xC>d&Eum3teIsHsm?KO6_63ur}y6C z+18F3`)|L&N1mWxTX<$*ECeb`2`Fa}jUZ-a6OQ5?n@PtR%S_D|WIt}qQvZOn8CrSE z=5qQrE7=PHkHt;6N8T(_bzENgMc4Tg>|ka2E{>e^+#H$xqCRD8y%4W@BC@d3;!ufu zdNQ6}E`zPP3?tPD*KOpMIj+YAGS4S5>r9nApNjR^QVJ!|8kiZh1X*vye=GJDKn%{H z(twQ;A6GY_L%obGxSnG=H5>G(_x0PbVI_2XCe&)^bUDki%^V? z#z_C7Ha|%ru-?97yh_qU!>;#9uw7K*+Tmzcbqd8liVbKe({y#tj7opvJZO0n;9s#M zH`|{T>RH3z3*&2D>IokH=FhxswPjL^Ml+9oCK@i=8zL(bv5uK-Bbeke)Vd(e_J~4N zwRp?WYTSSmx%$BL<#*LhyBCb785$bQQzlV!Ik>Tjnyedh6v|K_4IMk%;BcslroeNB z0rFNdj1q?YMFWbQd4U?#?Ag6~`h($6{=KL%w6UF5N_|sijWi+l=O|3x*n>6!W^UXR z6!m7a9-e9qx3Bt}m3pcx^H!K51~*x~X`3@-_j!3s!{cw5ICF9mO(N}?HR?X|M4WB=H~oI=+^upC$HR`NG+yQ_GTr#h%+s$Ef{@>Ous` z#Hb(f^QLVtx&uUP<8BKPB@i><7X=LOn9_K7vE zMOzB~xU2SF``Fao*SvW%ZOG74k>lGPgRWu|(CN6-L9F?jEK`}GUwoy>xq@d#@B*1? zdEqeQz$oeUg$o&3vrcKOkQVtdZf;C5(T`x8rO@}&V|gN6tHB~gjt>JFB4aA`?E{3Y z3v;^7rBG>x+%MPdVOEXWpDOXe#Ml}dazfQPNUDje z7^@Y@x`oiiSe~W^V4ZR-^MnP2o>oQZZ(Yu@ir5uvb6PR>6}|fK!SwUc3@j<)L6A!X z+0&atF7IxP`jMs}%&uZ&cqL*at2OA1VD|gLPSFUYseay$R3^lsR1wGaS;@Pd&+&G^ z&kMrwv81QQEAOO?Q^CIat-*U8r(Pk8xiE|ee zWmuz~^2}=0Ct*dR7t@MsqP@BtM}S=i4$^m6jc&!$ zlueclM%S3}7((8l^iaJ+SDPnS=;-h(Iknfn#(SfQk#kW%^9Hezo_Jj6hybC56=bj1L!$QZ?diFR%@{GzH2DO;}>8s}GvDs9t zaRZ(Osu_=rTs)reB~?B%3hsP|mU-sGhGd1=|37sl|=CqoNlvs~ZSu3OwXq;d9kEjUIlw za{1*`>;LY0x!rH;Q;b3D7@XU4Yy0yU{L@hkBF7^1EV7?CIq8o^bpNeRP7QTAN=Cs9 z_s&((**v5jSP4^-K+6(nYX=oITs?Snj3nC%{}mYZ0kX&Ob=1;fmTybZYBLqz-z==) zJ31+n7+WT96UXmzxs5a~R|zSAI$NwyK)FWO@e6hLFnA5e($V5C)%Nb`UhlmZdGF^t znO9Iy0CI0|zXbgw2mcm;WjqmbT8KOG7a%Hn58Mr2Q{deKzzdTE@Bw(uP4Dh^lJMVq ze1Go&dHA4UAVlc5$v=xfE${Ak*Iy9@|A`3T)%J3>1n{bxT3h~(u5JpqbVS?*_*;)w zv9z!?m2&a~JiCK{0Dd5Z2Pgmrfdv6jFpm%r36@=^IsJ23H+_G|A(UM??jbsEnM&D+*d*KpWNNI0c`3O5jfhFjIu7y_5ByXWuo<^{+Pl$Hx2;l(#833@LAip5M3h);O z1_JN;b3Xu%e`A7R@Lm1>8v_FQ?h5qZm>`%R`ac*1a#yPVwgUsfLjQyDLGKv-ZHIuH z+S*&ffByo}vVCQFm-2m|HJzLgfP3P9zCH?$R!)HXM*QxqE5a0x_{|Uu5`f|`Gs~#S G;`|?sO}b0~ literal 0 HcmV?d00001 diff --git a/presentation/images/fundamental_group.svg b/presentation/images/fundamental_group.svg new file mode 100644 index 0000000..234f660 --- /dev/null +++ b/presentation/images/fundamental_group.svg @@ -0,0 +1,647 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/presentation/images/infinite_telescope.pdf b/presentation/images/infinite_telescope.pdf new file mode 100644 index 0000000000000000000000000000000000000000..88c3f8b88277528cabd6d968c74d34915b03c1c3 GIT binary patch literal 5236 zcmdT|c{r5s*C$(zWhCn_G!l_zj4>ElVl1hVeMwoy7-K9m%#3{}*%Dc@C5lv(WD8kC zA#0(sWlz=-zLD^o(emBif8OhQ|9PKlu6dsOJm-GSIiIs!*XI^9($MJ50c2n5!}xsfqM>fH@R#%N>E1V;=&T^&Fo6EP@v zfbXqT>-J(9_~DUlDVO;Efte3uq9P(sovljFNE^|QYJCc`Eeq{Ad7R~WHxn#KlY*~0 z^)};1M3jnMvlpd7BRC{*`~Je_ZjQ)oS&Cna?<`jWn8gFxx4IDhSum0^p9-oVw=76k zQ*wlha;2iCX6<0&N5?g)JEqKP^8C6#Y?w#lc)PkvzrpZg}g_PQy5HCyMeeaT4yTK7a9k3ABfmIibu9aE(;J*iYG` ztAic*5*d<Z}|XD>UhT38}pC=z(9 zJJ2995m_90s>vD2F@9vWzWHTcJ3@OwIyxca$+-8sL8yw5m~e+)?p48o;_E)KUy@@V zif8~%iyd{B`BZxuTN=|^ajJMLqO2UpEDIXcuupA(uv{*1(XNgl5_rDPU@)ek1SAN%ro1oPWm!}7n7doWXR>^B(B`tPU@g}Q2MvR)q}D4nl#;wC}S%Dm;3_~d@tD)V;Jbzbwf}uwXlW) zw-k)4C)>RXMes+&S{aMy0Cv}zrC64_+dBDBaY9DngNYuuZg$WS@yv;8jfcI^zy%@ zn^RTL>8>}qY_D`t>Ej^OKS=+Tk?sMbN> zWDiApd0K1~C*Jhb5vyx|KIdx?KYz254Rm<>5?|MKZx0^PBOSfSHuJAp4`uk+TsmJ) zJuO(%rXOe>03|oIq1nAxdy{xw@we8Cy!3}!?xpJIWVyu~*Tug)rx04z>6Iju>_vCL zpMB)~Fz|J&l9&`-FU+XjmIW^7)yn<{j+Ow(+Pe zfI*_IoJPXqY8MUtm_3tuVh~NXmGqs+{{Og2cIQjzj}Ex3D858U$$U1}bmN%RN=BAk zyKn9$R$`?(SCffe>htp@;;g@GmsUK0sLnPuHq$3miuN$Q%9NZ}NtTdyIB{>?{Ng!< z=0{8CC%HCchr_2Q9;`=B9J)Cl)RvT9s{wQ)OuK1+x2`(-j%m3@XD5`QNXAKEj%YM& zWoS7UEv81vq+2=3k5hg`KkX=#AfVx3Nnr>a&j@!_6N&)ZprgCEECIQF)dP1`UqsjO zFg(a+>YXnk3EqJox*GxYixs%h(UVw;h};H`O`Bp3$w3ACJGO@?u#Ok)T|ZKv`WrF8-giyZHgt zDA1ztUEpKkE~6rI6570UYtFEBZ(OEj?xGqa^B4Pa|2F=DPXD%EXyH01=mUMBty<~I z#rwWBIfIqfx9==n8z0|^FuJa8{HbK^{swSzUdl(%hQrqd9AU>A{_Gpe<9W0ar~U1g z$6<7v1`2?r6&Pnnw`!GrJ{!PuQHFly-=D2??6&Gi@<#x+_WYub;JB@;h}+EtaL;YJ z3n>V$cdgZ9a)E_5hsW?E*4oYB*0&(dX+>N!SL_f#j^JkGma&$;60P4O*(f@q0Tm-zO446qQ}Uj@7KGg~Ky5giT<# zx$5M4xZ1}worm}*N_nx_n#GIn{{xqfsV8Xpy%f%f!M`!;K-7J z88O#uY=h@NusKPhqlV><9@I~8k?n?d&zfeR$Zj}YzwIZP-YCqPeCPFvPL^}i?Ep4= z%?Xu$ayBP`*Kw_(yCv&X$Q>Q{=b9=_(~u`&#n|IVG#a5jT?OjO_3yqbjt^#RvMhYA zzFMLo^oIW7jb~gqUa^3kXC77{=M@%R?uwa?clw=a$hdJH4K zM=Y7}HEce4u^F>y*L41kx{t!86r`78z*|=7wXt#0%-!&)o))#L!eG54!^;YjvEoE8 zw@*wPl9hCTB=C->l~D;fJ3vPfGnOO z<1KjRpd&PIvew?NBjRpAmrU=Hd=t<+q;Q*(ulmN`i}dkDkIcw1?6K&KoHO#TZ8GDU zD!SjFv41X5%M9~W$Q$}JG0#3WYq=Vh#!)`c5SAr}KW#&gas@J-a5%TO5Ex%SrFmzl zCU@xMv#*K=SbX`WCq170QPrRIY%f6Q`@`1m?+7c8l8=j$-j)3KYbUHth21Vx_sikh zbE?{)RqbVA2De!yd?wgQJ{8>QU-=Wu`kh?Y4aQ2ro6$n^Hi1^VMcx}5q>E`;(>>P5 z19RtijF1S9m*Z%Ty0IpFqlm^JyKPV8#tR-X+~tvR+Y@edu2my84>uuw(gNb<#{@sR z28T2~BCYyRGpk!l%dBMFrY)~0+%b`vc(N!?S#LIxz##7K+=Wet#jI7fpX1O7l>AaX zezE(t1Ye-ix3##@*i0qlv2i^>v4t)=>gYR;ye2*V9VXV~xBxTD=JGJJ8HsV!HGLoX z<(dg0-JjNSP=U(j5=p$f(!JF})>5HSeY)P`5=)vJTWkT_&*WUTee7y?R_f)`jAb|R z>piy1a}9wMf87Lze7kzmS`iWJQ6p}Fh_K9mI%RXkeysGe|BhQJ^RYW`>4`mrO7X6? z>FN|IHeQtr%iwgJ>@NP>eSe_R=18~gn^W}^QiK~nPu`t37+!w`kn5p1Gm!wc>n%;w z#FU=n1p~cxs-@IqQocWCxKexeh}F7!*6_w-I>t7hpcE%*;WgWeTdMU(tqZo!oS9tx zqy64VjnS5Sqqn}V%VWp%eOn^i&guEHLqqeBRAZ$IuGo2 zYlI(puZX=A<~O=j6nevCE5;u>S0K}Ezcn6(O`fd?6gdAJzV%QL5fLOD%FVkt=Q&vd z46bftQ6YxfI?kyV3Z=#dhe#uQ*iN}PZ@4zsQ7rjoRWbt&Ag!_C!7@{|e^?pFw=0o8 zKhS>c#=-{O*zTRX`aN|6PJ{%=~T+MV}d_qPuCRx zhF|{l4icB}RWma6mfn5#PXS|gSr@NbRB=D?$auigla(^jKl9%H?svx)nej%@+ zERvC5x<>S>ZZceb%y*PDROK$bGO1gm1x#!Aquktzeaw`VzkyY<>*GlKX`#pV$((op z(Tq%KWa9w;IpTH9i9xaJ2V%IM;CZgz)d+>a5d|CG$igyK`Gce?3xp2^?%ud)-0p+c zcm~J&-@gaj(+S2#%tNkqI7ne;Dkq#DGhAhj6T~^*T@*){#K*FaE+Uxz-2mZVoJ3XwSPFW8SyfpE0rS z_uW>K#&PnQcODK7Gi$xNjMcKi8Dn}Mn3O-TE}fUlbxTXRR;W?wIXNQUT<*(uA5ckQ z5iJ-DT)Xz|5OK~P`P`Q6(%4%&LHBa;meHDdosgNlxi=r}GE&BZiXT-L8Fl&Y;1UPJ zCD%<>KX9`s=`ejr8}elvxR)##+-wL5)!3cc+*$offq7iEYGiQck=%`H zU`F!oCbvfwyj@*tSXg}>!q~~V%W$AmaR7k9JO1Qt)F&F_qtQItol5keFgXZKfwq+Y zO$hfXppGwD&y-B1e;`#=nt*zNQF7D;2#nAKK|o+Miuz9_g}>fGe!Y{ERZ>=fLKOB@ zelLD#{`d!589KON(B%CczAzAsMm%ZXqW*q*qxjn!5ZKJm0|NpZp|F^J&x}w+44zCi z{)?>|U>tEMErKuT5>+Gzl2?MuD#}A4a>^ixoIKSTxRL@KWV62)LBNx#n@J!V{r$mp z^@s#7kG}-@!`i;|S8S$KABZSC$%AGY?e|Np4|@W4v)_jESBWP332- zCKwXIi-^XMKs1C+{t}}SbxlM5FBDw)w_E=c1*e($;oeUG_hT~kav<*`r0@O{0D{OuAPHwO*+T_P9Vt{PmWc9j#-T~F z1R_>aa^H{KcsrXEQBFZTU8N+AD^0f8c;+z8koAE!1A>E|^0bCWL-;{=ccLF55) zzb}v?3pufu$pvu%7{9OiB zf>A5=A2PV|zicQ#6{(5;yPkrg0yXr1$du&&t)~q8i;PS};oLC9{i$S%^T*IIpbZ`q l0)d*@Kc}uf-iew)T6TX{8;VHYM@<0^kpqZ{=@{w){tG+_vu*$Y literal 0 HcmV?d00001 diff --git a/presentation/images/infinite_telescope.pdf-rect9055-982.png b/presentation/images/infinite_telescope.pdf-rect9055-982.png new file mode 100644 index 0000000000000000000000000000000000000000..d4fa8d6b547cfa42b7707d69255b55e1d26ddb41 GIT binary patch literal 411 zcmeAS@N?(olHy`uVBq!ia0vp^(LkKR!3HGf-RPMGq*#ibJVQ8upoSx*1IXtr@Q5r1 zs=p4xj7}P}D}aKMC9V-A!TD(=<%vb94CUqJdYO6I#mR{Use1WE>9gP2NHH)lN_e_B zhE&XXd%=*a#X*4K;MXtzpfph{%_tryZ)~2 z&*Pup70x&BEAo9a;fCTy=cM){e4VmF)+%Kl!$ja0lkRbrGY<~-9svd + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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 @@ + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + diff --git a/presentation/images/spheres1.pdf b/presentation/images/spheres1.pdf new file mode 100644 index 0000000..c058fa6 --- /dev/null +++ b/presentation/images/spheres1.pdf @@ -0,0 +1,70 @@ +%PDF-1.5 +% +3 0 obj +<< /Length 4 0 R + /Filter /FlateDecode +>> +stream +xUA +1 E9ſ1mm= bt)."b׷3M!$',u>b> + >> +>> +endobj +5 0 obj +<< /Type /Page + /Parent 1 0 R + /MediaBox [ 0 0 35.656151 35.656151 ] + /Contents 3 0 R + /Group << + /Type /Group + /S /Transparency + /I true + /CS /DeviceRGB + >> + /Resources 2 0 R +>> +endobj +1 0 obj +<< /Type /Pages + /Kids [ 5 0 R ] + /Count 1 +>> +endobj +6 0 obj +<< /Creator (cairo 1.12.16 (http://cairographics.org)) + /Producer (cairo 1.12.16 (http://cairographics.org)) +>> +endobj +7 0 obj +<< /Type /Catalog + /Pages 1 0 R +>> +endobj +xref +0 8 +0000000000 65535 f +0000000553 00000 n +0000000255 00000 n +0000000015 00000 n +0000000233 00000 n +0000000327 00000 n +0000000618 00000 n +0000000747 00000 n +trailer +<< /Size 8 + /Root 7 0 R + /Info 6 0 R +>> +startxref +799 +%%EOF diff --git a/presentation/images/spheres2.pdf b/presentation/images/spheres2.pdf new file mode 100644 index 0000000..78a88be --- /dev/null +++ b/presentation/images/spheres2.pdf @@ -0,0 +1,70 @@ +%PDF-1.5 +% +3 0 obj +<< /Length 4 0 R + /Filter /FlateDecode +>> +stream +xJ1 y1I&}Apquyq!#(,Mw"ChNr݁wx L_ x +pG)[*TK"nP250XJ5Xy >6B? XC<[Ŝ) O=JwWl.WI+SjjTRȼQPOڪv{d +\|uWgٸ]z<4fLK Ŧu 7p +endstream +endobj +4 0 obj + 239 +endobj +2 0 obj +<< + /ExtGState << + /a0 << /CA 1 /ca 1 >> + >> +>> +endobj +5 0 obj +<< /Type /Page + /Parent 1 0 R + /MediaBox [ 0 0 35.656151 35.656151 ] + /Contents 3 0 R + /Group << + /Type /Group + /S /Transparency + /I true + /CS /DeviceRGB + >> + /Resources 2 0 R +>> +endobj +1 0 obj +<< /Type /Pages + /Kids [ 5 0 R ] + /Count 1 +>> +endobj +6 0 obj +<< /Creator (cairo 1.12.16 (http://cairographics.org)) + /Producer (cairo 1.12.16 (http://cairographics.org)) +>> +endobj +7 0 obj +<< /Type /Catalog + /Pages 1 0 R +>> +endobj +xref +0 8 +0000000000 65535 f +0000000651 00000 n +0000000353 00000 n +0000000015 00000 n +0000000331 00000 n +0000000425 00000 n +0000000716 00000 n +0000000845 00000 n +trailer +<< /Size 8 + /Root 7 0 R + /Info 6 0 R +>> +startxref +897 +%%EOF 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 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/presentation/images/weak_eqs1.pdf b/presentation/images/weak_eqs1.pdf new file mode 100644 index 0000000..11cc775 --- /dev/null +++ b/presentation/images/weak_eqs1.pdf @@ -0,0 +1,72 @@ +%PDF-1.5 +% +3 0 obj +<< /Length 4 0 R + /Filter /FlateDecode +>> +stream +xuTK1 ر9K ![ސhd݁ +Nt<4:RWV)mrvt +#i)(nKpd6&ؼ0nZGn[ RxV jWuNeԫI1]@:hX +ԴjQfgQWjްgՅ>z6Ms#a|j;{lCٛ(SR/mbK9;D'FR< $3G:t ':oow>}@A=]nSI/ADՅof&6;-`PKKR"nz6ɇyTAaڲVZ[U탵CmZk"Q+P fZ|\4[L)'H K!xӸA_/ZɄ1Ӈ&+ҲaB˃`4v,7t ㏡# !+ +endstream +endobj +4 0 obj + 561 +endobj +2 0 obj +<< + /ExtGState << + /a0 << /CA 1 /ca 1 >> + /a1 << /CA 0.196078 /ca 0.196078 >> + >> +>> +endobj +5 0 obj +<< /Type /Page + /Parent 1 0 R + /MediaBox [ 0 0 268.632507 47.823738 ] + /Contents 3 0 R + /Group << + /Type /Group + /S /Transparency + /I true + /CS /DeviceRGB + >> + /Resources 2 0 R +>> +endobj +1 0 obj +<< /Type /Pages + /Kids [ 5 0 R ] + /Count 1 +>> +endobj +6 0 obj +<< /Creator (cairo 1.12.16 (http://cairographics.org)) + /Producer (cairo 1.12.16 (http://cairographics.org)) +>> +endobj +7 0 obj +<< /Type /Catalog + /Pages 1 0 R +>> +endobj +xref +0 8 +0000000000 65535 f +0000001016 00000 n +0000000675 00000 n +0000000015 00000 n +0000000653 00000 n +0000000789 00000 n +0000001081 00000 n +0000001210 00000 n +trailer +<< /Size 8 + /Root 7 0 R + /Info 6 0 R +>> +startxref +1262 +%%EOF diff --git a/presentation/images/weak_eqs2.pdf b/presentation/images/weak_eqs2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..03d56a170b161d05d6102f56f42cb4b61136904e GIT binary patch literal 1975 zcmb7Fc~lce99AJuTm=EOT8%hbQP7fP6OybFwUxsnhnNV07p`G}AY_xxf)NloJn97n z!B!1et9XF$P!5qO$RVH>P&u@Kf(MF4R7#5orFJ(6Qvd6`eKR}X{$_r^Z@zion!DLK zSivklWS-lZ*$?pm2jE)*Adv{LoiVu|=?|J2vTd3Jg!wUg%e)=H91XBGe>;dBQ$!{=nW4n^`;gxl*ZvK=G2IR3FlALGn6LN z%D0tntS0tM-d41W+1b)^;z?XlTkp%Qt;gEa;>~lNp1v^HkXgvNlWO|DHz_|L+{|-) z)rHMjc?((hqEg~BNu^hBRn{NTqwFx)@R@V7|FhWJDM?sT9x^txeA(s6u4QKvqt+H{ zHbve$zo)j|f_XIA^3l~ja=sqU*UKd4*BZJscVFN8^XgWYt(E!%Cf{4PHNWohjNF$u zF0wIAo4vEzXy#~!QjEY~^;~Dh3)~mlO zeZBVT%ks1cB>2?btSJVi?Yt(fBD*Ff0}81GQoP?0;xe%}|xH z3N{Ji3=*BzUT^*8TDQXwCmRmUSlFcWywbkg<@pmcA z^3T0yCo=5d$;esWVhDJ(FT6Ce!wS9WZjEm1KVbMDN>_?!W8-#A8wVGU0_ z-KOq#EzivVPMs?vf76z~>0#C8+ZQGtOj&gNzF%$J7t0+Tm#m$Z?^Z5B9J>!&=G$4Q z2O`Qf>mD<*+jbpIoLKO}u6=!c(y6h@t_APs?nN6o3Ae^4*V{ZgFe`#v*lXqX_m>|& zKt&ODprR$FY+IMp+@cP2r~Y%*mCd)iRmRa@O?N8w*xa5m4ZQA}{XkWl1gUP$(VuIjHgk3L1t%-N|yBaHJJF$KJ&CF z(687dzsz+y+)21bdq0zRJq_8j;Ui#9GbJuUNy9PHK|Pzw%~UxVw-3 z%6GGKXU0f&-7Q-akXJKmKG)?;N~*c#Pxjso6WCmUbgrJ_&Hk>~xUX-G{XDP3VO`qP zUbAnGYmb?hl#~WPke-mUcmFE*@OD|>)zhn;zHI6Vsm_bP6Jq4BKj`vHO^~p@X;BNF z`>vDO`*nZPKu+fSg}n;b1UwF9)-^O9QJzD#Ey`Hf^F&(}$o1t&;&^HbXUL@cM5nageWH6HIspn%x{%}UXUb9_+ z0k#|Jhv~Arp#&x;sRTn_=Ysjj(B-%qtfwFj;0h3yfXC%?guq(JLbyC34*?r>OKovE zNv%}@+B*l0as`10D@O1bOr}GJ%9l_j5U5Z44b)~E^07vcZ};tV$+;PZKW;0r!tur)&MOgA7O#$aoT z?td{32c{0_zZeX2DQ!Q)xB}{4e1`G)lpdd90)*0J2qOtp7KjnL->XCxicuxgI*W0f i1T^u%>*FZ*#Q`mZPFWR+5~PkHEadSZb94Ju4$!|d@A^&v literal 0 HcmV?d00001 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}