--- a/text/ncat.tex Thu Jun 24 14:21:51 2010 -0400
+++ b/text/ncat.tex Fri Jun 25 09:48:24 2010 -0700
@@ -1832,8 +1832,9 @@
For the time being, let's say they are.}
A 1-marked $k$-ball is anything homeomorphic to $B^j \times C(S)$, $0\le j\le n-2$,
where $B^j$ is the standard $j$-ball.
-A 1-marked $k$-balls can be decomposed in various ways into smaller balls, which are either
-smaller 1-marked $k$-balls or the product of an unmarked ball with a marked interval. \todo{I'm confused by this last sentence. By `the product of an unmarked ball with a marked internal', you mean a 0-marked $k$-ball, right? If so, we should say it that way. Further, there are also just some entirely unmarked balls. -S}
+A 1-marked $k$-ball can be decomposed in various ways into smaller balls, which are either
+(a) smaller 1-marked $k$-balls, (b) 0-marked $k$-balls, or (c) plain $k$-balls.
+(See Figure xxxx.)
We now proceed as in the above module definitions.
\begin{figure}[!ht]