This course covers the basics of point-set topology. The course focuses on what type of structures need to be placed on a set in order to make it a "topological space" and what properties are deduced from these structures. Topics include open and closed sets, continuity, compactness, connectedness, and a selection of topics from metric spaces, manifolds, functions spaces or quotient spaces. Satisfies the proof-based requirement in the mathematics major.
Prerequisites: MATH 290 with grade of C- or higher