diff -r 27ac9b02cef9 -r 470fe2c71305 text/appendixes/comparing_defs.tex --- a/text/appendixes/comparing_defs.tex Fri Feb 19 23:31:40 2010 +0000 +++ b/text/appendixes/comparing_defs.tex Sat Feb 20 22:59:57 2010 +0000 @@ -6,6 +6,9 @@ In this appendix we relate the ``topological" category definitions of Section \ref{sec:ncats} to more traditional definitions, for $n=1$ and 2. +\nn{cases to cover: (a) plain $n$-cats for $n=1,2$; (b) $n$-cat modules for $n=1$, also 2?; +(c) $A_\infty$ 1-cat; (b) $A_\infty$ 1-cat module?; (e) tensor products?} + \subsection{$1$-categories over $\Set$ or $\Vect$} \label{ssec:1-cats} Given a topological $1$-category $\cX$ we construct a $1$-category in the conventional sense, $c(\cX)$.