diff -r a91691886cbc -r 4d2dad357a49 text/evmap.tex --- a/text/evmap.tex Mon Sep 20 17:53:15 2010 -0700 +++ b/text/evmap.tex Tue Sep 21 07:37:41 2010 -0700 @@ -261,7 +261,7 @@ We will assume a splitting $s:H_0(\btc_*(B^n))\to \btc_0(B^n)$ of the quotient map $q:\btc_0(B^n)\to H_0(\btc_*(B^n))$. -Let $r = s\circ q$. +Let $\rho = s\circ q$. For $x\in \btc_{ij}$ with $i\ge 1$ define \[ @@ -275,8 +275,7 @@ Note that for fixed $i$, $e$ is a chain map, i.e. $\bd_t e = e \bd_t$. A generator $y\in \btc_{0j}$ is a map $y:P\to \BD_0$, where $P$ is some $j$-dimensional polyhedron. -We define $r(y)\in \btc_{0j}$ to be the constant function $r\circ y : P\to \BD_0$. -\nn{I found it pretty confusing to reuse the letter $r$ here.} +We define $r(y)\in \btc_{0j}$ to be the constant function $\rho\circ y : P\to \BD_0$. Let $c(r(y))\in \btc_{0,j+1}$ be the constant map from the cone of $P$ to $\BD_0$ taking the same value (namely $r(y(p))$, for any $p\in P$). Let $e(y - r(y)) \in \btc_{1j}$ denote the $j$-parameter family of 1-blob diagrams @@ -418,8 +417,7 @@ (any given singular chain extends a fixed homeomorphism $\bd X \to \bd Y$). 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 linear polyhedron.) -\nn{be more restrictive here? (probably yes) does more need to be said?} +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}