MATH 353 - Topology

An introduction to point-set and algebraic topology. The fundamental notion of a topological space is introduced and properties of separation, compactness and connectedness. Topological spaces are also studied by means of algebraic invariants including homotopy and homology. Some of the famous theorems to be proved using these tools include the Brouwer Fixed Point Theorem, Poincare Index Theorem, Classification of Surfaces and the Ham Sandwich Theorem.

 

Prerequisite: MATH 301 or 327.

Note: Given in alternate years only.

 

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