Playlist:    • Algebraic Topology  

We calculate the homology, cohomology, and cup product of the torus and Klein bottle. For the Klein bottle, we calculate the cohomology and cup product using Z_2 coefficients.

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/...