Point Set Topology
math
analysis
topology
Introduction to topology. Convergence, continuity, base, quotients, products, compactness, Bolzano-Weierstrauss, Heine-Borel, Tychonoff’s Theorem and the axiom of choice, connectedness, path-connectedness, separability and Hausdorff spaces, Urysohn’s Lemma, Banach spaces, Arzela-Ascoli.