2021-2022 Graduate Catalog

MATH 645 Topology 1

Introduction to point-set topology. Topics include set-theoretic preliminaries, topological spaces, continuous functions, metric spaces, product and quotient spaces, connectedness, compactness, countability and separation axioms, Urysohn's Metrization Theorem, Tietze's Extension Theorem, and Tychonoff's Theorem. Prerequisite or parallel: MATH 470 or MATH 471 or MATH 570 or MATH 571.