text/evmap.tex
changeset 846 40b2a6d891c6
parent 845 c9b55efd79dd
child 847 50088eefeedf
--- a/text/evmap.tex	Thu Jun 30 09:12:32 2011 -0700
+++ b/text/evmap.tex	Mon Jul 04 10:26:37 2011 -0600
@@ -82,7 +82,7 @@
 \begin{proof}
 Since both complexes are free, it suffices to show that the inclusion induces
 an isomorphism of homotopy groups.
-To show that it suffices to show that for any finitely generated 
+To show this it in turn suffices to show that for any finitely generated 
 pair $(C_*, D_*)$, with $D_*$ a subcomplex of $C_*$ such that 
 \[
 	(C_*, D_*) \sub (\bc_*(X), \sbc_*(X))