# 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. Prereq: Math 325 or Math 32404. 4 HR./WK.; 4 CR.

**Important note:** The B-level follow up topology course has both
the A-level topology and A-level
algebra course as prerequisites.