Playlist: • Algebraic Topology
We introduce the classification of covering spaces by subgroups of the fundamental group. First we look at the familiar example of the real numbers serving as a cover for the circle S^1. Then we look at other covers of the circle and see some structure emerge. We see an even richer structure when we look at the cover of the wedge of two circles, S^1vS^1. This includes a fractal as the universal cover.
Presented by Anthony Bosman, PhD.
Learn more about math at Andrews University: www.andrews.edu/cas/math/
In this course we are following Hatcher, Algebraic Topology: pi.math.cornell.edu/~hatcher/...
Негізгі бет Algebraic Topology 7: Covering Spaces
Пікірлер: 13