General topology. 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. Major results, such as Urysohn metrization theorem, Baire category theorem, Tychonoff product theorem, Stone-Cech compactification theorem. Further selected topics.
Last Updated on MAY-16-2025
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