text/a_inf_blob.tex
changeset 526 803cc581fd42
parent 525 4e4b6505d9ef
child 529 8e055b7c0768
--- a/text/a_inf_blob.tex	Sat Aug 28 17:34:20 2010 -0700
+++ b/text/a_inf_blob.tex	Mon Aug 30 08:54:01 2010 -0700
@@ -288,26 +288,27 @@
 or $M\to Y$, instead of an undecorated colimit with fancier $k$-categories over $Y$.
 Information about the specific map to $Y$ has been taken out of the categories
 and put into sphere modules and decorations.
-
-Let $F \to E \to Y$ be a fiber bundle as above.
-Choose a decomposition $Y = \cup X_i$
-such that the restriction of $E$ to $X_i$ is a product $F\times X_i$.
-\nn{resume revising here}
-Choose the product structure (trivialization of the bundle restricted to $X_i$) as well.
-To each codim-1 face $X_i\cap X_j$ we have a bimodule ($S^0$-module).
-And more generally to each codim-$j$ face we have an $S^{j-1}$-module.
-Decorate the decomposition with these modules and do the colimit.
+\nn{...}
 
-
-\nn{There is a version of this last construction for arbitrary maps $E \to Y$
-(not necessarily a fibration).
-In fact, there is also a version of the first construction for non-fibrations.}
-
-
-
-Note that Theorem \ref{thm:gluing} can be viewed as a special case of this one.
-Let $X_1$ and $X_2$ be $n$-manifolds
-
+%Let $F \to E \to Y$ be a fiber bundle as above.
+%Choose a decomposition $Y = \cup X_i$
+%such that the restriction of $E$ to $X_i$ is a product $F\times X_i$,
+%and choose trivializations of these products as well.
+%
+%\nn{edit marker}
+%To each codim-1 face $X_i\cap X_j$ we have a bimodule ($S^0$-module).
+%And more generally to each codim-$j$ face we have an $S^{j-1}$-module.
+%Decorate the decomposition with these modules and do the colimit.
+%
+%
+%\nn{There is a version of this last construction for arbitrary maps $E \to Y$
+%(not necessarily a fibration).}
+%
+%
+%
+%Note that Theorem \ref{thm:gluing} can be viewed as a special case of this one.
+%Let $X_1$ and $X_2$ be $n$-manifolds
+%
 
 
 \subsection{A gluing theorem}