Algebraic Topology 9 : Deck Transformations of Covering Spaces
Автор: Math at Andrews University
Загружено: 2023-11-08
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Playlist: • Algebraic Topology
We complete our study of covering spaces by discussing the group of deck transformations of a covering space, that is, the group formed by isomorphisms from a covering space to itself that send basepoints to basepoints. We see that this group is the quotient of the fundamental group of the base space and that of the covering space, at least when the covering space is normal (i.e. symmetric). We see several examples of this. Then we wrap up with a brief introduction of Geometric Group Theory by discussing how to construct the Cayley graph of a group.
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/...
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