Introduction to Algebraic Topology

Catalog description

Metric spaces, continuity, topological spaces, sums, products and quotients of topological spaces, compact spaces, connected spaces. Additional topics include either advanced topics in set-theoretic topology (including separation axioms, locally compact spaces, convergence, compactness and countability properties, Stone-Čech compactification, paracompact spaces, and metrization) or advanced topics in algebraic topology (including the fundamental group, The Seifert-Van Kampen Theorem, group presentations, covering spaces, the correspondence theorem, and topics in homology). Prerequisite: MTH 441/MTH 541 /541 or MTH 491/MTH 591 /591 or permission of the instructor.