Fall 2012 MATH 202A 001 LEC

Introduction to Topology and Analysis
001 LECMWF 9-10A 180 TANCHRIST, F M54400
Units/CreditFinal Exam GroupEnrollment
416: THURSDAY, DECEMBER 13, 2012 7-10PLimit:60 Enrolled:49 Waitlist:0 Avail Seats:11 [on 11/02/12]
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Prerequisites: 104.

Syllabus: 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.


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