Fall 2015 MATH 202A 001 LEC

Introduction to Topology and Analysis
001 LECTuTh 11-1230P 3 LECONTEHAMMOND, A54455
Units/CreditFinal Exam GroupEnrollment
49: WEDNESDAY, DECEMBER 16, 2015 8-11ALimit:71 Enrolled:51 Waitlist:0 Avail Seats:20 [on 10/04/15]
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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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