diff -r 9576c3d68a3d -r 0d62ea7c653d text/ncat.tex --- a/text/ncat.tex Tue Jul 13 12:47:58 2010 -0600 +++ b/text/ncat.tex Wed Jul 14 11:06:20 2010 -0600 @@ -619,7 +619,7 @@ \] These action maps are required to be associative up to homotopy \nn{iterated homotopy?}, and also compatible with composition (gluing) in the sense that -a diagram like the one in Proposition \ref{CHprop} commutes. +a diagram like the one in Theorem \ref{thm:CH} commutes. \nn{repeat diagram here?} \nn{restate this with $\Homeo(X\to X')$? what about boundary fixing property?} \end{axiom} @@ -1371,9 +1371,9 @@ \] Here $C_*$ means singular chains and $\Homeo_\bd(M)$ is the space of homeomorphisms of $M$ which fix $\bd M$. -These action maps are required to be associative up to homotopy, +These action maps are required to be associative up to homotopy, as in Theorem \ref{thm:CH-associativity}, and also compatible with composition (gluing) in the sense that -a diagram like the one in Proposition \ref{CHprop} commutes. +a diagram like the one in Theorem \ref{thm:CH} commutes. \end{module-axiom} As with the $n$-category version of the above axiom, we should also have families of collar maps act.