Playlist:    • Algebraic Topology  

We review the long exact sequence for a pair (A,X) and the Excision theorem, then use these to construct the Mayer-Vietoris sequence and prove that it is exact. Then we show examples of calculating homology using Mayer-Vietoris: the sphere S^n and the Klein bottle.

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/...