Playlist: • Algebraic Topology
We continue our study of covering spaces, reviewing the definition and a couple examples and then proving some important properties. In particular, we discuss the unique path lifting property and homotopy lifting property. These let us prove that the induced homomorphism between a covering space and base space is injective. We also discuss the general existence of a universal cover and construct the universal cover for the torus and 2-holed torus.
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 8: Properties of Covering Spaces
Пікірлер: 27