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General Topology. A continuation of Math 523. Together with Math 523, this course will cover: Introduction to set theory and cardinal numbers, the axiom of choice and some of its equivalences. Topological spaces. Separation axioms, continuity, connectedness, compactness, product spaces, cardinal invariants. Homotopy and the fundamental group. Major results, such as Urysohn metrization theorem, Baire category theorem, Tychonoff product theorem, Stone-Cech compactification theorem. Further sel ected topics. Professorial whim and student interest may combine to effect the inclusion of other topics, elementary or advanced or both.
Unless preregistered students attend the first class meeting or communicate directly with the instructor prior to the first class, they will be dropped from the class list. NOTE: Students must still submit a completed Drop/Add form to the Registrar's Office.
COURSE FORMAT: Lecture
Level: GRAD Credit: 1 Gen Ed Area Dept: NONE Grading Mode: Graded
Prerequisites: MATH523
Last Updated on MAR-19-2002
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