diff -r 3e6c66df4df1 -r c9b55efd79dd text/evmap.tex --- a/text/evmap.tex Wed Jun 29 23:06:29 2011 -0700 +++ b/text/evmap.tex Mon Jul 04 10:25:42 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))