--- a/text/A-infty.tex Sun Jun 07 18:41:00 2009 +0000
+++ b/text/A-infty.tex Wed Jun 10 19:55:59 2009 +0000
@@ -10,6 +10,9 @@
\subsection{Topological $A_\infty$ categories}
In this section we define a notion of `topological $A_\infty$ category' and sketch an equivalence with the usual definition of $A_\infty$ category. We then define `topological $A_\infty$ modules', and their morphisms and tensor products.
+\nn{And then we generalize all of this to $A_\infty$ $n$-categories [is this the
+best name for them?]}
+
\begin{defn}
\label{defn:topological-Ainfty-category}%
A \emph{topological $A_\infty$ category} $\cC$ has a set of objects $\Obj(\cC)$, and for each interval $J$ and objects $a,b \in \Obj(\cC)$, a chain complex $\cC(J;a,b)$, along with