
diff -r 74ab13b63b9b -r deeff619087e text/tqftreview.tex
--- a/text/tqftreview.tex	Mon Sep 26 16:40:49 2011 -0600
+++ b/text/tqftreview.tex	Mon Oct 03 16:40:16 2011 -0700
@@ -196,8 +196,9 @@
 are transverse to $Y$ or splittable along $Y$.
 \item Splittings.
 Let $c\in \cC_k(X)$ and let $Y\sub X$ be a codimension 1 properly embedded submanifold of $X$.
-Then for most small perturbations of $Y$ (i.e.\ for an open dense
-subset of such perturbations) $c$ splits along $Y$.
+Then for most small perturbations of $Y$ (e.g.\ for an open dense
+subset of such perturbations, or for all perturbations satisfying
+a transversality condition) $c$ splits along $Y$.
 (In Example \ref{ex:maps-to-a-space(fields)}, $c$ splits along all such $Y$.
 In Example \ref{ex:traditional-n-categories(fields)}, $c$ splits along $Y$ so long as $Y$ 
 is in general position with respect to the cell decomposition




