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66 We use the blob complex for $A_\infty$ $n$-categories to establish important properties of the blob complex (in both variants), |
66 We use the blob complex for $A_\infty$ $n$-categories to establish important properties of the blob complex (in both variants), |
67 in particular the `gluing formula' of Theorem \ref{thm:gluing} below. |
67 in particular the `gluing formula' of Theorem \ref{thm:gluing} below. |
68 |
68 |
69 The relationship between all these ideas is sketched in Figure \ref{fig:outline}. |
69 The relationship between all these ideas is sketched in Figure \ref{fig:outline}. |
70 |
70 |
71 \nn{KW: the previous two paragraphs seem a little awkward to me, but I don't presently have a good idea for fixing them.} |
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72 |
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73 \tikzstyle{box} = [rectangle, rounded corners, draw,outer sep = 5pt, inner sep = 5pt, line width=0.5pt] |
71 \tikzstyle{box} = [rectangle, rounded corners, draw,outer sep = 5pt, inner sep = 5pt, line width=0.5pt] |
74 |
72 |
75 \begin{figure}[!ht] |
73 \begin{figure}[!ht] |
76 {\center |
74 {\center |
77 |
75 |