# HG changeset patch # User Kevin Walker # Date 1323589582 28800 # Node ID 89bdf3eb03afb40ffe0268a63629a830ffddb860 # Parent 341c2a09f9a8be937b14ab2665d3341d84769449 very minor; committing in preparation for merging diff -r 341c2a09f9a8 -r 89bdf3eb03af text/article_preamble.tex --- a/text/article_preamble.tex Fri Dec 09 18:43:11 2011 -0800 +++ b/text/article_preamble.tex Sat Dec 10 23:46:22 2011 -0800 @@ -39,7 +39,7 @@ % idea from tex-overflow \usepackage{xcolor} -\definecolor{dark-red}{rgb}{0.7,0.25,0.25} +\definecolor{dark-red}{rgb}{0.6,0.15,0.15} \definecolor{dark-blue}{rgb}{0.15,0.15,0.55} \definecolor{medium-blue}{rgb}{0,0,0.65} \hypersetup{ diff -r 341c2a09f9a8 -r 89bdf3eb03af text/ncat.tex --- a/text/ncat.tex Fri Dec 09 18:43:11 2011 -0800 +++ b/text/ncat.tex Sat Dec 10 23:46:22 2011 -0800 @@ -1275,9 +1275,9 @@ This last example generalizes Lemma \ref{lem:ncat-from-fields} above which produced an $n$-category from an $n$-dimensional system of fields and local relations. Taking $W$ to be the point recovers that statement. The next example is only intended to be illustrative, as we don't specify -which definition of a ``traditional $n$-category" we intend. -Further, most of these definitions don't even have an agreed-upon notion of -``strong duality", which we assume here. +which definition of a ``traditional $n$-category with strong duality" we intend. +%Further, most of these definitions don't even have an agreed-upon notion of +%``strong duality", which we assume here. \begin{example}[Traditional $n$-categories] \rm \label{ex:traditional-n-categories} @@ -1368,7 +1368,7 @@ %\nn{say something about cofibrant replacements?} In fact, there is also a trivial, but mostly uninteresting, way to do this: we can think of each vector space associated to an $n$-ball as a chain complex concentrated in degree $0$, -and take $\CD{B}$ to act trivially. +and let $\CH{B}$ act trivially. Beware that the ``free resolution" of the ordinary $n$-category $\pi_{\leq n}(T)$ is not the $A_\infty$ $n$-category $\pi^\infty_{\leq n}(T)$.