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General topology. Together with MATH524, this course will cover the following topics. Introduction to set theory and cardinal numbers. The axiom of choice and some of its equivalents. 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.
COURSE FORMAT: Lecture
Level: GRAD Credit: 1 Gen Ed Area Dept: NONE Grading Mode: Graded
Prerequisites: NONE
Last Updated on MAR-19-2002
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