text/appendixes/comparing_defs.tex
changeset 512 050dba5e7bdd
parent 510 537de60474ec
child 529 8e055b7c0768
--- 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}.