text/ncat.tex
changeset 688 0cbef0258d72
parent 687 b8f7de7a4206
child 689 5ab2b1b2c9db
--- a/text/ncat.tex	Mon Jan 10 14:18:52 2011 -0800
+++ b/text/ncat.tex	Mon Jan 10 15:25:53 2011 -0800
@@ -678,12 +678,12 @@
 
 An $n$-category consists of the following data:
 \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/gluing maps $\gl_Y : \cC(B_1)_E \times_{\cC(Y)} \cC(B_2)_E \to \cC(B_1\cup_Y B_2)_E$ (Axiom \ref{axiom:composition})
-\item Product/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})
+\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/gluing maps $\gl_Y : \cC(B_1)_E \times_{\cC(Y)} \cC(B_2)_E \to \cC(B_1\cup_Y B_2)_E$ (Axiom \ref{axiom:composition}).
+\item Product/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}).
 \end{itemize}
 The above data must satisfy the following conditions:
 \begin{itemize}