--- a/text/blobdef.tex Thu Aug 11 13:26:00 2011 -0700
+++ b/text/blobdef.tex Thu Aug 11 13:54:38 2011 -0700
@@ -156,7 +156,7 @@
\end{itemize}
Combining these two operations can give rise to configurations of blobs whose complement in $X$ is not
a manifold.
-Thus will need to be more careful when speaking of a field $r$ on the complement of the blobs.
+Thus we will need to be more careful when speaking of a field $r$ on the complement of the blobs.
\begin{example} \label{sin1x-example}
Consider the four subsets of $\Real^3$,
@@ -208,7 +208,7 @@
%and the entire configuration should be compatible with some gluing decomposition of $X$.
\begin{defn}
\label{defn:configuration}
-A configuration of $k$ blobs in $X$ is an ordered collection of $k$ subsets $\{B_1, \ldots B_k\}$
+A configuration of $k$ blobs in $X$ is an ordered collection of $k$ subsets $\{B_1, \ldots, B_k\}$
of $X$ such that there exists a gluing decomposition $M_0 \to \cdots \to M_m = X$ of $X$ and
for each subset $B_i$ there is some $0 \leq l \leq m$ and some connected component $M_l'$ of
$M_l$ which is a ball, so $B_i$ is the image of $M_l'$ in $X$.
@@ -238,7 +238,7 @@
\label{defn:blob-diagram}
A $k$-blob diagram on $X$ consists of
\begin{itemize}
-\item a configuration $\{B_1, \ldots B_k\}$ of $k$ blobs in $X$,
+\item a configuration $\{B_1, \ldots, B_k\}$ of $k$ blobs in $X$,
\item and a field $r \in \cF(X)$ which is splittable along some gluing decomposition compatible with that configuration,
\end{itemize}
such that