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MATH533

Topological Groups
MATH533 SP

Next Offered in 9899 SP

There are two components, as follows: I. (about 8 weeks) A survey of the basic definitions and major fundamental results, including the theorems of Kakuta i-Kodaira, Pontrjagin, Haar, and Kuzminov-Ivanovskii; proofs will be included where time and professorial competence permit. II. (about 5 weeks) The current status of various unsolved problems in the topological theory of topological groups, including problems concerning Lindelof groups, pseudocompact groups, countable compact groups, extremally disconnected groups, and free groups.

MAJOR READINGS

Edwin Hewitt & Kenneth A. Ross,
ABSTRACT HARMONIC ANALYSIS Vol. I

EXAMINATIONS AND ASSIGNMENTS

Frequent written handwork; 3-hour final examination.

ADDITIONAL REQUIREMENTS and/or COMMENTS

COURSE FORMAT: Lecture

REGISTRATION INFORMATION

Level: GR Credit: 1.00

Prerequisites: MATH523 or MATH503

Last Updated on MAR-03-1998




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