Introduction to General Topology

3 credits

General (point-set) topology. Naive set theory, relations and functions, order relations, cardinality, Axiom of Choice, well-ordering, topological spaces, bases, subspaces, product spaces, limit points, continuous functions, homeomorphisms, metric spaces, connectedness, compactness, countability axioms, separation axioms, Urysohn lemma, Tietze extension theorem, Urysohn metrization theorem, Tychonoff theorem. [3-0-0] Prerequisite: MATH 327.