Playlist:    • Algebraic Topology  

We prove that if two spaces are homotopy equivalent, then they have the same (simplicial) homology groups. We do this by showing that homotopic maps between spaces induce the same homomorphism on the homology groups.

Presented by Anthony Bosman, PhD.
Learn more about math at Andrews University: https://www.andrews.edu/cas/math/
In this course we are following Hatcher, Algebraic Topology: https://pi.math.cornell.edu/~hatcher/...