diff -r cd08d1b9d274 -r 050dba5e7bdd text/appendixes/comparing_defs.tex --- a/text/appendixes/comparing_defs.tex Tue Aug 03 21:45:10 2010 -0600 +++ b/text/appendixes/comparing_defs.tex Wed Aug 18 21:05:50 2010 -0700 @@ -1,6 +1,6 @@ %!TEX root = ../../blob1.tex -\section{Comparing $n$-category definitions} +\section{Comparing \texorpdfstring{$n$}{n}-category definitions} \label{sec:comparing-defs} In \S\ref{sec:example:traditional-n-categories(fields)} we showed how to construct @@ -22,7 +22,7 @@ %\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 $\Vect$} +\subsection{1-categories over \texorpdfstring{$\Set$ or $\Vect$}{Set or Vect}} \label{ssec:1-cats} Given a topological $1$-category $\cX$ we construct a $1$-category in the conventional sense, $c(\cX)$. This construction is quite straightforward, but we include the details for the sake of completeness, @@ -560,7 +560,7 @@ %\nn{need to find a list of axioms for pivotal 2-cats to check} -\subsection{$A_\infty$ $1$-categories} +\subsection{\texorpdfstring{$A_\infty$}{A-infinity} 1-categories} \label{sec:comparing-A-infty} In this section, we make contact between the usual definition of an $A_\infty$ category and our definition of a topological $A_\infty$ $1$-category, from \S \ref{ss:n-cat-def}.