diff -r 4b64f9c6313f -r 76c301fdf0a2 text/hochschild.tex --- a/text/hochschild.tex Wed Jun 02 08:43:12 2010 -0700 +++ b/text/hochschild.tex Wed Jun 02 11:45:19 2010 -0700 @@ -7,8 +7,7 @@ greater than zero. In this section we analyze the blob complex in dimension $n=1$. We find that $\bc_*(S^1, \cC)$ is homotopy equivalent to the -Hochschild complex of the 1-category $\cC$. -\nn{cat vs fields --- need to make sure this is clear} +Hochschild complex of the 1-category $\cC$. (Recall from \S \ref{sec:example:traditional-n-categories(fields)} that a $1$-category gives rise to a $1$-dimensional system of fields; as usual, talking about the blob complex with coefficients in a $n$-category means first passing to the corresponding $n$ dimensional system of fields.) Thus the blob complex is a natural generalization of something already known to be interesting in higher homological degrees.