diff -r b5c1a6aec50d -r 08bbcf3ec4d2 text/ncat.tex --- a/text/ncat.tex Wed Oct 28 21:41:53 2009 +0000 +++ b/text/ncat.tex Wed Oct 28 21:59:38 2009 +0000 @@ -753,7 +753,7 @@ operad-type strict associativity condition.} (The above operad-like structure is analogous to the swiss cheese operad -\nn{need citation}.) +\cite{MR1718089}.) \nn{need to double-check that this is true.} \xxpar{Module product (identity) morphisms:} @@ -854,7 +854,7 @@ \begin{figure}[!ht]\begin{equation*} \mathfig{.9}{tempkw/mblabel} \end{equation*}\caption{A permissible decomposition of a manifold -whose boundary components are labeled my $\cC$ modules $\{\cN_i\}$.}\label{mblabel}\end{figure} +whose boundary components are labeled by $\cC$ modules $\{\cN_i\}$.}\label{mblabel}\end{figure} Given permissible decompositions $x$ and $y$, we say that $x$ is a refinement of $y$, or write $x \le y$, if each ball of $y$ is a union of balls of $x$. This defines a partial ordering $\cJ(W)$, which we will think of as a category.