21-651 General Topology

Units: 12.0 Department: Mathematical Sciences Related URLs: http://www.math.cmu.edu Metric spaces: continuity, compactness, Arzela-Ascoli Theorem, completeness and completion, Baire Category Theorem. General topological spaces: bases and subbases, products, quotients, subspaces, continuity, topologies generated by sets of functions, homeomorphisms. Convergence: nets, filters, and the inadequacy of sequences. Separation: Hausdorff spaces, regular spaces, completely regular spaces, normal spaces, Urysohn's Lemma, Tietze's Extension Theorem. Connectedness. Countability conditions: first and second countability, separability, Lindelof property. Compactness: Tychonoff's Theorem, local compactness, one-point compactification. 3 hrs. lec.

Popularity index Rank for this semester: #0 Rank in this department: #0   Students also scheduled 82-303 French Culture 73-347 Game Theory for Economists 21-620 Real Analysis 09-217 Organic Chemistry I 21-621 Introduction to Lebesgue Integratio... 80-276 Philosophy of Religion 80-256 Modern Moral Philosophy 33-131 Matter and Interaction I 21-476 Ordinary Differential Equations 80-180 The Nature of Language

Spring 2005 times

No sections available for semester Spring 2005.