--- 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}.