text/ncat.tex
changeset 919 259bef1b5dad
parent 918 80fe92f8f81f
child 921 fef029834878
--- a/text/ncat.tex	Sun Oct 23 15:03:53 2011 -0600
+++ b/text/ncat.tex	Sun Oct 23 16:04:10 2011 -0600
@@ -100,10 +100,10 @@
 The first is balls equipped with a map to some other space $Y$ (c.f. \cite{MR2079378}). 
 This will be used below (see the end of \S \ref{ss:product-formula}) to describe the blob complex of a fiber bundle with
 base space $Y$.
-The second is balls equipped with a section of the tangent bundle, or the frame
+The second is balls equipped (partially defined) sections of the tangent bundle, or the frame
 bundle (i.e.\ framed balls), or more generally some partial flag bundle associated to the tangent bundle.
 These can be used to define categories with less than the ``strong" duality we assume here,
-though we will not develop that idea fully in this paper.
+though we will not develop that idea in this paper.
 
 Next we consider domains and ranges of morphisms (or, as we prefer to say, boundaries
 of morphisms).