# HG changeset patch # User scott@6e1638ff-ae45-0410-89bd-df963105f760 # Date 1260667948 0 # Node ID a3631a999462b317efa5dabbec5e1820a0b81de3 # Parent 4f7300effe49cf40c225e4ba1fb6604f4aebfd39 ... diff -r 4f7300effe49 -r a3631a999462 diagrams/pdf/tempkw/blah6.pdf Binary file diagrams/pdf/tempkw/blah6.pdf has changed diff -r 4f7300effe49 -r a3631a999462 sandbox.tex --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/sandbox.tex Sun Dec 13 01:32:28 2009 +0000 @@ -0,0 +1,68 @@ +\documentclass[11pt,leqno]{amsart} + +%\usepackage{amsthm} + +\newcommand{\pathtotrunk}{./} +\input{text/article_preamble} +\input{text/top_matter} +\input{text/kw_macros} + + +%\title{Blob Homology} +\title{Sandbox} + +\begin{document} +\begin{equation*} +\begin{tikzpicture} +\def\rad{1} +\def\srad{0.75} +\foreach \i in {0, 1, 2} { + \node(\i) at ($\i*(4.5,0)$) {}; +} +\draw (0) circle (\rad); + +\draw ($(1)+(1,0)$) circle (\srad); +\draw[fill=white] (1) circle (\rad); + +\begin{scope} +\draw[clip] (2) circle (\rad); +\draw ($(2)+(1,0)$) circle (\srad); +\end{scope} + +\end{tikzpicture} +\end{equation*} + +\begin{equation*} +\begin{tikzpicture} +\node(M) at (0,0) {$M$}; +\foreach \angle/\label in {0/K', 45/K'L, 90/L, 135/KL, 180/K, 225/KL', 270/L', 315/K'L'} { + \node(\label) at (\angle:4) {$\label$}; +} +\foreach \label in {K', L, K, L'} { + \node(\label M) at ($(M)!0.6!(\label)$) {$\label M$}; + \draw[->] (\label M)--(M); + \draw[->] (\label M)--(\label); +} +\foreach \k in {K, K'} { + \foreach \l in {L, L'} { + \node(\k \l M) at (intersection cs: first line={(\k M)--(\l)}, second line={(\l M)--(\k)}) {$\k \l M$}; + \draw[->] (\k \l M)--(M); + \draw[->] (\k \l M)--(\k \l ); + \draw[->] (\k \l M)--(\k M); + \draw[->] (\k \l M)--(\l); + \draw[->] (\k \l M)--(\l M); + \draw[->] (\k \l M)--(\k); + } +} +\draw[->] (K'L') to[bend right=10] (K'); +\draw[->] (K'L') to[bend left=10] (L'); +\draw[->] (KL') to[bend left=10] (K); +\draw[->] (KL') to[bend right=10] (L'); +\draw[->] (K'L) to[bend left=10] (K'); +\draw[->] (K'L) to[bend right=10] (L); +\draw[->] (KL) to[bend right=10] (K); +\draw[->] (KL) to[bend left=10] (L); +\end{tikzpicture} +\end{equation*} + +\end{document} diff -r 4f7300effe49 -r a3631a999462 text/ncat.tex --- a/text/ncat.tex Fri Dec 11 23:16:03 2009 +0000 +++ b/text/ncat.tex Sun Dec 13 01:32:28 2009 +0000 @@ -327,9 +327,12 @@ a & \mapsto & s_{Y,J}(a \cup ((a|_Y)\times J)) . \end{eqnarray*} (See Figure \ref{glue-collar}.) -\begin{figure}[!ht]\begin{equation*} +\begin{figure}[!ht] +\begin{equation*} \mathfig{.9}{tempkw/blah10} -\end{equation*}\caption{Extended homeomorphism.}\label{glue-collar}\end{figure} +\end{equation*} + +\caption{Extended homeomorphism.}\label{glue-collar}\end{figure} We say that $\psi_{Y,J}$ is {\it extended isotopic} to the identity map. \nn{bad terminology; fix it later} \nn{also need to make clear that plain old isotopic to the identity implies