--- a/text/ncat.tex	Wed Mar 30 08:03:27 2011 -0700
+++ b/text/ncat.tex	Thu Mar 31 14:13:58 2011 -0700
@@ -37,7 +37,7 @@
 
 Strictly speaking, before we can state the axioms for $k$-morphisms we need all the axioms 
 for $k{-}1$-morphisms.
-So readers who prefer things to be presented in a strictly logical order should read this subsection $n$ times, first imagining that $k=0$, then that $k=1$, and so on until they reach $k=n$.
+Readers who prefer things to be presented in a strictly logical order should read this subsection $n+1$ times, first setting $k=0$, then $k=1$, and so on until they reach $k=n$.
 
 \medskip
 
@@ -834,6 +834,9 @@
 The case $n=d$ captures the $n$-categorical nature of bordisms.
 The case $n > 2d$ captures the full symmetric monoidal $n$-category structure.
 \end{example}
+\begin{remark}
+Working with the smooth bordism category would require careful attention to either collars, corners or halos.
+\end{remark}
 
 %\nn{the next example might be an unnecessary distraction.  consider deleting it.}