ugh, trying to make some changes, but the only way I can work from here is by tunneling X windows, and it's just too painful. postponing til I'm at a real computer.
--- a/text/ncat.tex Fri Jan 07 14:40:58 2011 -0800
+++ b/text/ncat.tex Sun Jan 09 06:56:45 2011 -0500
@@ -643,7 +643,7 @@
weak identities.
We will not pursue this in detail here.
-A variant on the above axiom would be to drop the ``up to homotopy" and require a strictly associative action.
+A potential variant on the above axiom would be to drop the ``up to homotopy" and require a strictly associative action. (In fact, the alternative construction of the blob complex described in \S ?? gives $n$-categories as in Example ?? which satisfy this stronger axiom; since that construction is only homotopy equivalent to the usual one, only the weaker axiom carries across.)
Note that if we take homology of chain complexes, we turn an $A_\infty$ $n$-category
into a ordinary $n$-category (enriched over graded groups).