| author | Kevin Walker <kevin@canyon23.net> |
| Thu, 26 Aug 2010 13:20:13 -0700 | |
| changeset 522 | a60c035e53bd |
| parent 498 | b98790f0282e |
| child 560 | b138ee4a5938 |
| permissions | -rw-r--r-- |
| 189 | 1 |
\documentclass[11pt,leqno]{amsart}
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%\usepackage{amsthm}
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\newcommand{\pathtotrunk}{./}
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\input{text/article_preamble}
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\input{text/top_matter}
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\input{text/kw_macros}
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%\title{Blob Homology}
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\title{Sandbox}
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\begin{document}
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456
a5d75e0f9229
filtration -> simplex, and another diagram
Scott Morrison <scott@tqft.net>
parents:
443
diff
changeset
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\begin{figure}[t]
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\begin{center}
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\begin{tikzpicture}
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\node(A) at (-4,0) {
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\begin{tikzpicture}[scale=.8, fill=blue!15!white]
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\filldraw[line width=1.5pt] (-.4,1) .. controls +(-1,-.1) and +(-1,0) .. (0,-1) |
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.. controls +(1,0) and +(1,-.1) .. (.4,1) -- (.4,3) |
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.. controls +(3,-.4) and +(3,0) .. (0,-3) |
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.. controls +(-3,0) and +(-3,-.1) .. (-.4,3) -- cycle; |
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\node at (0,-2) {$X$};
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\node (W) at (-2.7,-2) {$W$};
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\node (Y1) at (-1.2,3.5) {$Y$};
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\node (Y2) at (1.4,3.5) {$Y$};
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\node[outer sep=2.3] (y1e) at (-.4,2) {};
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\node[outer sep=2.3] (y2e) at (.4,2) {};
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\node (we1) at (-2.2,-1.1) {};
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\node (we2) at (-.6,-.7) {};
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\draw[->] (Y1) -- (y1e); |
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\draw[->] (Y2) -- (y2e); |
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\draw[->] (W) .. controls +(0,.5) and +(-.5,-.2) .. (we1); |
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\draw[->] (W) .. controls +(.5,0) and +(-.2,-.5) .. (we2); |
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\end{tikzpicture}
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}; |
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\node(B) at (4,0) {
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\begin{tikzpicture}[scale=.8, fill=blue!15!white]
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\fill (0,1) .. controls +(-1,0) and +(-1,0) .. (0,-1) |
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.. controls +(1,0) and +(1,0) .. (0,1) -- (0,3) |
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.. controls +(3,0) and +(3,0) .. (0,-3) |
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.. controls +(-3,0) and +(-3,0) .. (0,3) -- cycle; |
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\draw[line width=1.5pt] (0,1) .. controls +(-1,0) and +(-1,0) .. (0,-1) |
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.. controls +(1,0) and +(1,0) .. (0,1); |
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\draw[line width=1.5pt] (0,3) .. controls +(3,0) and +(3,0) .. (0,-3) |
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.. controls +(-3,0) and +(-3,0) .. (0,3); |
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\draw[line width=.5pt, black!65!white] (0,1) -- (0,3); |
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\node at (0,-2) {$X\sgl$};
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\node (W) at (2.7,-2) {$W\sgl$};
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\node (we1) at (2.2,-1.1) {};
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\node (we2) at (.6,-.7) {};
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\draw[->] (W) .. controls +(0,.5) and +(.5,-.2) .. (we1); |
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\draw[->] (W) .. controls +(-.5,0) and +(.2,-.5) .. (we2); |
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\end{tikzpicture}
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}; |
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\draw[->, red!80!green, line width=2pt] (A) -- node[above, black] {glue} (B);
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\end{tikzpicture}
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\end{center}
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\caption{Gluing with corners}
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\label{fig:gluing-with-corners}
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\end{figure}
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blah |
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\vfill\eject |
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456
a5d75e0f9229
filtration -> simplex, and another diagram
Scott Morrison <scott@tqft.net>
parents:
443
diff
changeset
|
79 |
|
|
498
b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
80 |
\begin{tikzpicture}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
81 |
\newcommand{\rr}{6}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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82 |
\newcommand{\vertex}{node[circle,fill=black,inner sep=1pt] {}}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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83 |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
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\node(A) at (0,0) {
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
85 |
\begin{tikzpicture}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\node[red,left] at (0,0) {$y$};
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\draw (0,0) \vertex arc (-120:-105:\rr) node[red,below] {$a$} arc(-105:-90:\rr) \vertex node[red,below](x2) {$x$};
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
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\draw (0,0) \vertex arc (120:105:\rr) node[red,above] {$a$} arc (105:90:\rr) \vertex node[red,above](x1) {$x$} -- (x2);
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\begin{scope}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\foreach \x in {0,0.24,...,3} {
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\draw[green!50!brown] (\x,1) -- (\x,-1); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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} |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\end{scope}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\draw[red, decorate,decoration={brace,amplitude=5pt}] ($(x1)+(0.2,-0.2)$) -- ($(x2)+(0.2,0.2)$) node[midway, xshift=0.7cm] {$x \times I$};
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\end{tikzpicture}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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}; |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
98 |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\node(B) at (-4,-4) {
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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100 |
\begin{tikzpicture}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\node[red,left] at (0,0) {$y$};
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\draw (0,0) \vertex |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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arc (120:105:\rr) node[red,above] {$a$}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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arc (105:90:\rr) node[red,above] {$x$} \vertex
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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arc (90:75:\rr) node[red,above] {$x \times I$}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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arc (75:60:\rr) \vertex node[red,right] {$x$}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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arc (-60:-90:\rr) node[red,below] {$a$}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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arc (-90:-120:\rr); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\begin{scope}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\foreach \x in {0,0.48,...,9} {
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\draw[green!50!brown] (\x/4,1) -- (\x,-1); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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} |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\end{scope}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\end{tikzpicture}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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}; |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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117 |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\node(C) at (4,-4) {
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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\begin{tikzpicture}[y=-1cm]
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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120 |
\node[red,left] at (0,0) {$y$};
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
121 |
\draw (0,0) \vertex |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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122 |
arc (120:105:\rr) node[red,below] {$a$}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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arc (105:90:\rr) node[red,below] {$x$} \vertex
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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arc (90:75:\rr) node[red,below] {$x \times I$}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
125 |
arc (75:60:\rr) \vertex node[red,right] {$x$}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
126 |
arc (-60:-90:\rr) node[red,above] {$a$}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
127 |
arc (-90:-120:\rr); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
128 |
\begin{scope}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
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129 |
\path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
130 |
\foreach \x in {0,0.48,...,9} {
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
131 |
\draw[green!50!brown] (\x/4,1) -- (\x,-1); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
132 |
} |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
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\end{scope}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
134 |
\end{tikzpicture}
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
135 |
}; |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
136 |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
137 |
\draw[->] (A) -- (B); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
138 |
\draw[->] (A) -- (C); |
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b98790f0282e
diagram for producing weak identities
Scott Morrison <scott@tqft.net>
parents:
456
diff
changeset
|
139 |
\end{tikzpicture}
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\end{document}
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