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1 %!TEX root = ../../blob1.tex |
1 %!TEX root = ../../blob1.tex |
2 |
2 |
3 \section{Comparing $n$-category definitions} |
3 \section{Comparing $n$-category definitions} |
4 \label{sec:comparing-defs} |
4 \label{sec:comparing-defs} |
5 |
5 |
6 In this appendix we relate the ``topological" category definitions of Section \ref{sec:ncats} |
6 In this appendix we relate the ``topological" category definitions of \S\ref{sec:ncats} |
7 to more traditional definitions, for $n=1$ and 2. |
7 to more traditional definitions, for $n=1$ and 2. |
8 |
8 |
9 \nn{cases to cover: (a) plain $n$-cats for $n=1,2$; (b) $n$-cat modules for $n=1$, also 2?; |
9 \nn{cases to cover: (a) plain $n$-cats for $n=1,2$; (b) $n$-cat modules for $n=1$, also 2?; |
10 (c) $A_\infty$ 1-cat; (b) $A_\infty$ 1-cat module?; (e) tensor products?} |
10 (c) $A_\infty$ 1-cat; (b) $A_\infty$ 1-cat module?; (e) tensor products?} |
11 |
11 |