Playlist:    • Algebraic Topology  

We use the fundamental group to prove the Brouwer Fixed Point Theorem which states that any continuous map from the disk to itself leaves at least one point fixed. We also prove Borsuk-Ulam which tells us that there are two points on the opposite sides of the earth with the exact same temperature and barometric pressure.

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/...