Fall 2022 MATH 202A 001 LEC
Introduction to Topology and Analysis
Schedule:
| Section | Days/Times | Location | Instructor | Class |
|---|---|---|---|---|
| 001 LEC | MoWeFr 09:00AM - 09:59AM | Evans 60 | Marc A Rieffel | 21979 |
| Units | Enrollment Status | Session |
|---|---|---|
| 4 | Open | 2022 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
Office Hours
Required Text
Recommended Reading
Grading Letter grade.
Homework
Course Webpage See link on my home page: math.berkeley.edu/~rieffel
