text/ncat.tex
changeset 686 fa7042811d84
parent 685 8efbd2730ef9
child 687 b8f7de7a4206
--- 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).