# HG changeset patch # User Scott Morrison # Date 1294574205 18000 # Node ID fa7042811d8476c7fc0f4c5db7dcd71189c6be83 # Parent 8efbd2730ef9c52a7e0419cec22e525a58660684 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. diff -r 8efbd2730ef9 -r fa7042811d84 text/ncat.tex --- 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).