--- a/blob to-do Mon Dec 12 15:01:37 2011 -0800
+++ b/blob to-do Mon Dec 12 16:32:10 2011 -0800
@@ -1,14 +1,13 @@
====== big ======
-* add "homeomorphism" spiel before the first use of "homeomorphism" in the intro
-* maybe also additional homeo warnings in other sections
-
-* Maybe give more details in 6.7.2
+[nothing!]
====== minor/optional ======
+* Maybe give more details in 6.7.2. Or maybe do this in some future paper.
+
[probably NO] * consider proving the gluing formula for higher codimension manifolds with
morita equivalence
--- a/text/intro.tex Mon Dec 12 15:01:37 2011 -0800
+++ b/text/intro.tex Mon Dec 12 16:32:10 2011 -0800
@@ -43,6 +43,16 @@
with sufficient limits and colimits would do.
We could also replace many of our chain complexes with topological spaces (or indeed, work at the generality of model categories).
+{\bf Note:} For simplicity, we will assume that all manifolds are unoriented and piecewise linear, unless stated otherwise.
+In fact, all the results in this paper also hold for smooth manifolds,
+as well as manifolds equipped with an orientation, spin structure, or $\mathrm{Pin}_\pm$ structure.
+We will use ``homeomorphism" as a shorthand for ``piecewise linear homeomorphism".
+The reader could also interpret ``homeomorphism" to mean an isomorphism in whatever category of manifolds we happen to
+be working in (e.g.\ spin piecewise linear, oriented smooth, etc.).
+In the smooth case there are additional technical details concerning corners and gluing
+which we have omitted, since
+most of the examples we are interested in require only a piecewise linear structure.
+
\subsection{Structure of the paper}
The subsections of the introduction explain our motivations in defining the blob complex (see \S \ref{sec:motivations}),