diff -r fa7042811d84 -r b8f7de7a4206 text/ncat.tex --- a/text/ncat.tex Sun Jan 09 06:56:45 2011 -0500 +++ b/text/ncat.tex Mon Jan 10 14:18:52 2011 -0800 @@ -643,7 +643,7 @@ weak identities. We will not pursue this in detail here. -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.) +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 \ref{ss:alt-def} gives $n$-categories as in Example \ref{ex:blob-complexes-of-balls} 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).