
diff -r 37f036dda03c -r 291f82fb79b5 text/basic_properties.tex
--- a/text/basic_properties.tex	Mon Jun 28 08:54:36 2010 -0700
+++ b/text/basic_properties.tex	Mon Jun 28 10:03:13 2010 -0700
@@ -95,19 +95,19 @@
 For the next proposition we will temporarily restore $n$-manifold boundary
 conditions to the notation.
 
-Let $X$ be an $n$-manifold, $\bd X = Y \cup (-Y) \cup Z$.
+Let $X$ be an $n$-manifold, $\bd X = Y \cup Y \cup Z$.
 Gluing the two copies of $Y$ together yields an $n$-manifold $X\sgl$
 with boundary $Z\sgl$.
-Given compatible fields (boundary conditions) $a$, $b$ and $c$ on $Y$, $-Y$ and $Z$,
+Given compatible fields (boundary conditions) $a$, $b$ and $c$ on $Y$, $Y$ and $Z$,
 we have the blob complex $\bc_*(X; a, b, c)$.
-If $b = -a$ (the orientation reversal of $a$), then we can glue up blob diagrams on
+If $b = a$, then we can glue up blob diagrams on
 $X$ to get blob diagrams on $X\sgl$.
 This proves Property \ref{property:gluing-map}, which we restate here in more detail.
 
 \textbf{Property \ref{property:gluing-map}.}\emph{
 There is a natural chain map
 \eq{
-    \gl: \bigoplus_a \bc_*(X; a, -a, c) \to \bc_*(X\sgl; c\sgl).
+    \gl: \bigoplus_a \bc_*(X; a, a, c) \to \bc_*(X\sgl; c\sgl).
 }
 The sum is over all fields $a$ on $Y$ compatible at their
 ($n{-}2$-dimensional) boundaries with $c$.




