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94 We use the blob complex for $A_\infty$ $n$-categories to establish important properties of the blob complex (in both variants), |
94 We use the blob complex for $A_\infty$ $n$-categories to establish important properties of the blob complex (in both variants), |
95 in particular the ``gluing formula" of Theorem \ref{thm:gluing} below. |
95 in particular the ``gluing formula" of Theorem \ref{thm:gluing} below. |
96 |
96 |
97 The relationship between all these ideas is sketched in Figure \ref{fig:outline}. |
97 The relationship between all these ideas is sketched in Figure \ref{fig:outline}. |
98 |
98 |
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99 % NB: the following tikz requires a *more recent* version of PGF than is distributed with MacTex 2010. |
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100 % grab the latest build from http://www.texample.net/tikz/builds/ |
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101 % unzip it in your personal tex tree, and run "mktexlsr ." there |
99 \tikzstyle{box} = [rectangle, rounded corners, draw,outer sep = 5pt, inner sep = 5pt, line width=0.5pt] |
102 \tikzstyle{box} = [rectangle, rounded corners, draw,outer sep = 5pt, inner sep = 5pt, line width=0.5pt] |
100 |
103 |
101 \begin{figure}[t] |
104 \begin{figure}[t] |
102 {\center |
105 {\center |
103 \beginpgfgraphicnamed{gadgets-external}% |
106 \beginpgfgraphicnamed{gadgets-external}% |