Homotopy invariance of homology
= Homotopy invariance of homology
<Homotopic> maps induce the same homomorphism on every <homology group>. Consequently, <homotopy equivalent> spaces have isomorphic homology groups.
= Homotopy invariance of homology
<Homotopic> maps induce the same homomorphism on every <homology group>. Consequently, <homotopy equivalent> spaces have isomorphic homology groups.