Fall 2022 MATH 202A 001 LEC

Introduction to Topology and Analysis
001 LECMoWeFr 09:00AM - 09:59AMEvans 60Marc A Rieffel21979
UnitsEnrollment StatusSession
4Open2022 Fall, August 24 - December 09
Additional Information: 

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.


Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.


Course Webpage See link on  my home page: math.berkeley.edu/~rieffel