Algebraic Topology 14: Exact Sequences & Homology of Spheres

Описание к видео Algebraic Topology 14: Exact Sequences & Homology of Spheres

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: 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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