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| ![](../../external.gif?link=http://tcpulse.com/assets/space.gif) | 21-651 General Topology ![](../../external.gif?link=http://tcpulse.com/assets/space.gif)
![](../../external.gif?link=http://tcpulse.com/assets/space.gif) 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. | ![](../../external.gif?link=http://tcpulse.com/assets/space.gif) | ![](../../external.gif?link=http://tcpulse.com/assets/space.gif)
Popularity index | ![](../../external.gif?link=http://tcpulse.com/assets/pCCCCCC.gif) | ![](../../external.gif?link=http://tcpulse.com/assets/space.gif) Students also scheduled | ![](../../external.gif?link=http://tcpulse.com/assets/pCCCCCC.gif) | | ![](../../external.gif?link=http://tcpulse.com/assets/space.gif) Spring 2005 times | ![](../../external.gif?link=http://tcpulse.com/assets/pCCCCCC.gif) | No sections available for semester Spring 2005.
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