
diff -r 78db9976b145 -r 09eebcd9dce2 pnas/pnas.tex
--- a/pnas/pnas.tex	Sat Nov 13 13:23:22 2010 -0800
+++ b/pnas/pnas.tex	Sat Nov 13 13:26:29 2010 -0800
@@ -538,8 +538,8 @@
 When $\cC$ is the topological $n$-category based on string diagrams for a traditional
 $n$-category $C$,
 one can show \nn{cite us} that the above two constructions of the homotopy colimit
-are equivalent to the more concrete construction which we describe next, and which we denote $\bc_*(W; C)$.
-Roughly speaking, the generators of $\bc_k(W; C)$ are string diagrams on $W$ together with
+are equivalent to the more concrete construction which we describe next, and which we denote $\bc_*(W; \cC)$.
+Roughly speaking, the generators of $\bc_k(W; \cC)$ are string diagrams on $W$ together with
 a configuration of $k$ balls (or ``blobs") in $W$ whose interiors are pairwise disjoint or nested.
 The restriction of the string diagram to innermost blobs is required to be ``null" in the sense that
 it evaluates to a zero $n$-morphism of $C$.
@@ -552,7 +552,7 @@
 The $k$-blob group $\bc_k(W; \cC)$ is generated by the $k$-blob diagrams. A $k$-blob diagram consists of
 \begin{itemize}
 \item a permissible collection of $k$ embedded balls,
-\item an ordering of the balls, and
+\item an ordering of the balls, and \nn{what about reordering?}
 \item for each resulting piece of $W$, a field,
 \end{itemize}
 such that for any innermost blob $B$, the field on $B$ goes to zero under the gluing map from $\cC$. We call such a field a `null field on $B$'.




