MATH A6300 Topology I

A course in general topology. Topological spaces: metric spaces, subspaces, continuous maps, connectedness, separation axioms; topological vector spaces: Hilbert spaces, Banach space, Frechet spaces; the quotient topology or identification spaces: the classification of two-dimensional manifolds; fundamental group and covering spaces; covering spaces of graphs: applications to group theory.

Credits

4

Prerequisite

MATH 32500 or MATH 32404.

Contact Hours

4 hr./wk.