diff -r ab6bfadab93e -r 6bcf1c3d0eb6 pnas/pnas.tex
--- a/pnas/pnas.tex	Sun Nov 14 16:02:06 2010 -0800
+++ b/pnas/pnas.tex	Sun Nov 14 16:10:31 2010 -0800
@@ -738,8 +738,10 @@
 \end{rem}
 This result is described in more detail as Example 6.2.8 of \cite{1009.5025}.
 
-Fix a topological $n$-category $\cC$, which we'll now omit from notation.
-Recall that for any $(n-1)$-manifold $Y$, the blob complex $\bc_*(Y)$ is naturally an $A_\infty$ category.
+%Fix a topological $n$-category $\cC$, which we'll now omit from notation.
+%Recall that for any $(n-1)$-manifold $Y$, the blob complex $\bc_*(Y)$ is naturally an $A_\infty$ category.
+The $A_\infty$ actions above allow us to state a gluing theorem.
+For simplicity, we omit the $n$-category $\cC$ from the notation.
 
 \begin{thm}[Gluing formula]
 \label{thm:gluing}