MATH 368: Topology

(1 Unit)
Prerequisites: MATH 239 and MATH 245.
An introduction to the basic concepts of point set topology. Fundamental concepts of topological spaces including open and closed sets, limit points, continuous functions, as well as the product, subspace, metric, and quotient topology. Connectedness and compactness with applications to the real line. Countability and separation axioms including Hausdorff, Regular, and Normal spaces. Urysohn’s Lemma and Metrization Theorem. Tychonoff’s Theorem. Topics from algebraic topology if time permits. Urysohn’s Lemma and Metrization Theorem. Tychonoff’s Theorem. Topics from algebraic topology if time permits. Mason, Bollman.