Topology

(4 Credits)

This course presents the basic ideas of point-set topology, as well as their interactions with analysis and algebra. Topics covered include topological spaces, metric spaces, compactness, Tychonoff’s theorem, separation axioms, Urysohn’s lemma, covering spaces, fundamental groups, and homotopy groups. Prerequisite: Grade C or better in MATH-SHU 328 (Honors Analysis I) or MATH-SHU 151 (Multivariable Calculus). Fulfillment: Math Constrained Math elective; Honors Math elective.