Playlist: • Algebraic Topology
We introduce exact sequences and a particular long exact sequence on the (reduced) homology groups for a subspace A of the space X and its quotient X/A. Then we use this to calculate the (singular) homology of the spheres S^n. We also discuss the homology of the suspension SX of a space X and give a topological proof of Brouwer's fixed point theorem.
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 14: Exact Sequences & Homology of Spheres
Пікірлер: 9