Introduction to Topology

Prerequisites: (CASMA 225 or CASMA 230) and (CASMA 411 or CASMA 511) or consent of instructor. - Introduction to point set and algebraic topology. Topological spaces and continuity. Compactness and connectedness. Metrizable topological spaces. Product topology and Tychonoff's theorem. The fundamental group and van Kampen's theorem. Covering spaces and the universal cover.