
diff -r 4d2dad357a49 -r c9f41c18a96f text/evmap.tex
--- a/text/evmap.tex	Tue Sep 21 07:37:41 2010 -0700
+++ b/text/evmap.tex	Tue Sep 21 14:44:17 2010 -0700
@@ -191,7 +191,7 @@
 and with $\supp(x_k) = U$.
 We can now take $d_j \deq \sum x_k$.
 It is clear that $\bd d_j = \sum (g_{j-1}(e_k) - g_j(e_k)) = g_{j-1}(s(\bd b)) - g_{j}(s(\bd b))$, as desired.
-\nn{should maybe have figure}
+\nn{should have figure}
 
 We now define 
 \[
@@ -210,8 +210,6 @@
 For sufficiently fine $\cV_{l-1}$ this will be possible.
 Since $C_*$ is finite, the process terminates after finitely many, say $r$, steps.
 We take $\cV_r = \cU$.
-
-\nn{should probably be more specific at the end}
 \end{proof}
 
 
@@ -222,8 +220,6 @@
 We give $\BD_k$ the finest topology such that
 \begin{itemize}
 \item For any $b\in \BD_k$ the action map $\Homeo(X) \to \BD_k$, $f \mapsto f(b)$ is continuous.
-\item \nn{don't we need something for collaring maps?}
-\nn{KW: no, I don't think so.  not unless we wanted some extension of $CH_*$ to act}
 \item The gluing maps $\BD_k(M)\to \BD_k(M\sgl)$ are continuous.
 \item For balls $B$, the map $U(B) \to \BD_1(B)$, $u\mapsto (B, u, \emptyset)$, is continuous,
 where $U(B) \sub \bc_0(B)$ inherits its topology from $\bc_0(B)$ and the topology on
@@ -418,7 +414,6 @@
 We also will use the abbreviated notation $CH_*(X) \deq CH_*(X, X)$.
 (For convenience, we will permit the singular cells generating $CH_*(X, Y)$ to be more general
 than simplices --- they can be based on any cone-product polyhedron (see Remark \ref{blobsset-remark}).)
-\nn{this note about our non-standard should probably go earlier in the paper, maybe intro}
 
 \begin{thm}  \label{thm:CH}
 For $n$-manifolds $X$ and $Y$ there is a chain map




