
diff -r 24be062a87a1 -r 8f33a46597c4 text/evmap.tex
--- a/text/evmap.tex	Mon Sep 20 06:10:49 2010 -0700
+++ b/text/evmap.tex	Mon Sep 20 06:39:25 2010 -0700
@@ -21,9 +21,9 @@
 introduce a homotopy equivalent alternate version of the blob complex, $\btc_*(X)$,
 which is more amenable to this sort of action.
 Recall from Remark \ref{blobsset-remark} that blob diagrams
-have the structure of a sort-of-simplicial set. \nn{need a more conventional sounding name: `polyhedral set'?}
+have the structure of a cone-product set.
 Blob diagrams can also be equipped with a natural topology, which converts this
-sort-of-simplicial set into a sort-of-simplicial space.
+cone-product set into a cone-product space.
 Taking singular chains of this space we get $\btc_*(X)$.
 The details are in \S \ref{ss:alt-def}.
 We also prove a useful result (Lemma \ref{small-blobs-b}) which says that we can assume that
@@ -216,7 +216,7 @@
 
 \medskip
 
-Next we define the sort-of-simplicial space version of the blob complex, $\btc_*(X)$.
+Next we define the cone-product space version of the blob complex, $\btc_*(X)$.
 First we must specify a topology on the set of $k$-blob diagrams, $\BD_k$.
 We give $\BD_k$ the finest topology such that
 \begin{itemize}
@@ -492,8 +492,8 @@
 
 \nn{should comment at the start about any assumptions about smooth, PL etc.}
 
-\nn{should maybe mention alternate def of blob complex (sort-of-simplicial space instead of
-sort-of-simplicial set) where this action would be easy}
+\nn{should maybe mention alternate def of blob complex (cone-product space instead of
+cone-product set) where this action would be easy}
 
 Let $CH_*(X, Y)$ denote $C_*(\Homeo(X \to Y))$, the singular chain complex of
 the space of homeomorphisms




