MATH 353 - Topology

FC NSMA QFR

4 credits
An introduction to point-set and algebraic topology. The fundamental notion of a topological space is introduced and various properties a topological space might have are studied, including connectedness and compactness. Spaces are also investigated by means of certain algebraic invariants including the fundamental group. These invariants are applied to the theory of covering spaces and various results about surfaces, continuous maps, and vector fields are proved.

Prerequisites: MATH 301 or MATH 327.