Fall 2017 MATH 202A 001 LEC

Introduction to Topology and Analysis
001 LECMoWeFr 01:00PM - 01:59PMEvans 60Alan Hammond17131
UnitsEnrollment Status
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Prerequisites: 104

Description: Metric spaces and general topological spaces. Compactness and connectedness. Characterization of compact metric spaces. Theorems of Tychonoff, Urysohn, Tietze. Complete spaces and the Baire category theorem. Function spaces; Arzela-Ascoli and Stone-Weierstrass theorems. Partitions of unity. Locally compact spaces; one-point compactification. Introduction to measure and integration. Sigma algebras of sets. Measures and outer measures. Lebesgue measure on the line and Rn. Construction of the integral. Dominated convergence theorem.


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Grading: Letter grade.


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