diff -r 858b80dfa05c -r 14d12dff8268 text/ncat.tex --- a/text/ncat.tex Wed Jun 22 16:07:55 2011 -0700 +++ b/text/ncat.tex Wed Jun 22 23:09:25 2011 -0700 @@ -2618,6 +2618,38 @@ cell complexes (cups and caps) in $B^2$ shown in Figure \ref{morita-fig-1}. \begin{figure}[t] $$\mathfig{.65}{tempkw/morita1}$$ + + +$$ +\begin{tikzpicture} +\node(L) at (0,0) {\tikz{ + \draw[orange] (0,0) -- node[below] {$\cC$} (1,0); + \draw[blue] (1,0) -- node[below] {$\cD$} (2,0); + \draw[orange] (2,0) -- node[below] {$\cC$} (3,0); + \node[purple, fill, circle, inner sep=2pt, label=$\cM$] at (1,0) {}; + \node[purple, fill, circle, inner sep=2pt, label=$\cM$] at (2,0) {}; +}}; + +\node(R) at (6,0) {\tikz{ + \draw[orange] (0,0) -- node[below] {$\cC$} (3,0); + \node[label={\phantom{$\cM$}}] at (1.5,0) {}; +}}; + +\node at (-1,-1.5) { $\leftidx{_\cC}{(\cM \tensor_\cD \cM)}{_\cC}$ }; +\node at (7,-1.5) { $\leftidx{_\cC}{\cC}{_\cC}$ }; + +\draw[->] (L) to[out=35, in=145] node[below] {$w$} node[above] { \tikz{ + \draw (0,0) circle (16pt); +}}(R); + +\draw[->] (R) to[out=-145, in=-35] node[above] {$x$} node[below] { \tikz{ + \draw (0,0) circle (16pt); +}}(L); + + +\end{tikzpicture} +$$ + \caption{Cups and caps for free}\label{morita-fig-1} \end{figure}