MTH 491/591 Introduction to Topology (3)

Elementary set theory and cardinality, metric spaces and topological spaces, sequence convergence, complete metric spaces, Baire Category Theorem, continuity, uniform continuity, bases for a topological space, first and second countability, relationships among separable, Lindelof and second countable properties, product topology, separation axioms, Urysohn’s Lemma, Tietze Extension Theorem, compactness, characterizations of compactness in metric spaces, Tychonoff Theorem, local compactness, connectedness.

Prerequisite: MTH 222 and MTH 252.

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