Topology

Catalog description

Elementary introduction to topology. Topics include topology of metric spaces, abstract topological spaces, open and closed sets, connectedness, compactness, continuity, and completeness, subspaces, product and quotient spaces, separation axioms, homotopies of paths, the fundamental group, covering spaces, index theory, and applications (Borsuk-Ulam Theorem, Ham Sandwich Theorem, Fundamental Theorem of Algebra). 001105