Academic Calendar - 2018

Western University Academic Calendar. - 2018
Western Main Campus

Mathematics 4152A/B

ALGEBRAIC TOPOLOGY


Homotopy, fundamental group, Van Kampen's theorem, covering spaces, simplicial and singular homology, homotopy invariance, long exact sequence of a pair, excision, Mayer-Vietoris sequence, degree, Euler characteristic, cell complexes, projective spaces. Applications include the fundamental theorem of algebra, the Brouwer fixed point theorem, division algebras, and invariance of domain.

Prerequisite(s): Mathematics 3120A/B and either Mathematics 4121A/B or the former Mathematics 3132B.

Extra Information: 3 lecture hours.

Course Weight: 0.50
Breadth: CATEGORY C i  
Subject Code: MATH

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