# HG changeset patch # User Scott Morrison # Date 1300919438 25200 # Node ID 58c9e149d05a7598c3d5a7b145d387fea0bc994b # Parent 0ec80a7773dcef7e4464c50481aee22ba6dd2048# Parent a53b3dd7ea9fc7fb492512a09aae13ad6c0fdfeb Automated merge with http://tqft.net/hg/blob diff -r a53b3dd7ea9f -r 58c9e149d05a text/ncat.tex --- a/text/ncat.tex Wed Mar 23 15:30:16 2011 -0700 +++ b/text/ncat.tex Wed Mar 23 15:30:38 2011 -0700 @@ -251,7 +251,7 @@ Let $\cC(B_1)\trans E \times_{\cC(Y)} \cC(B_2)\trans E$ denote the fibered product of these two maps. We have a map \[ - \gl_Y : \cC(B_1)\trans E \times_{\cC(Y)} \cC(B_2)\trans E \to \cC(B)_E + \gl_Y : \cC(B_1)\trans E \times_{\cC(Y)} \cC(B_2)\trans E \to \cC(B)\trans E \] which is natural with respect to the actions of homeomorphisms, and also compatible with restrictions to the intersection of the boundaries of $B$ and $B_i$. @@ -699,7 +699,7 @@ \begin{itemize} \item functors $\cC_k$ from $k$-balls to sets, $0\le k\le n$ (Axiom \ref{axiom:morphisms}); \item boundary natural transformations $\cC_k \to \cl{\cC}_{k-1} \circ \bd$ (Axiom \ref{nca-boundary}); -\item ``composition'' or ``gluing'' maps $\gl_Y : \cC(B_1)\trans E \times_{\cC(Y)} \cC(B_2)\trans E \to \cC(B_1\cup_Y B_2)_E$ (Axiom \ref{axiom:composition}); +\item ``composition'' or ``gluing'' maps $\gl_Y : \cC(B_1)\trans E \times_{\cC(Y)} \cC(B_2)\trans E \to \cC(B_1\cup_Y B_2)\trans E$ (Axiom \ref{axiom:composition}); \item ``product'' or ``identity'' maps $\pi^*:\cC(X)\to \cC(E)$ for each pinched product $\pi:E\to X$ (Axiom \ref{axiom:product}); \item if enriching in an auxiliary category, additional structure on $\cC_n(X; c)$; \item in the $A_\infty$ case, an action of $C_*(\Homeo_\bd(X))$, and similarly for families of collar maps (Axiom \ref{axiom:families}).