MATH-4040

Introduction to Topology

Topics include general topological spaces, connectedness, compactness, continuity, and product spaces. Additional topics may be chosen from Mobius strips, Klein bottles, identification spaces, homotopy, the fundamental group of a surface, sequences in topological spaces, pseudo-metric spaces, completeness, Baire category, space-filling curves, weak topologies, quotient spaces, strong topologies, hyperspaces, the Hausdorff metric, and topological dimension. Corequisite: MATH-4200. Fall term even- numbered years.

4 credit hours