MATH525 - Topics in TopologyII: Topological Groups

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Academic Year 2002/2003

Topics in TopologyII: Topological Groups
MATH 525 FA

The course has two components, as follows: (I) (about seven weeks) An introductory survey of the basic definitions and some of the fundamental results, including perhaps the theorems of Kakutani-Kodaira, Pontrjagin, Haar, and Kuzminov-Ivanovskii. (II) (about six weeks) More modern material relating to the topological structure of topological groups, with emphasis upon cardinal invariants and the current status of selected unsolved problems concerning Lindelof groups, pseudocompact groups, countably compact groups, van der Waerden groups, and free topological groups.
Note: This course has been offered frequently in the past under the designation Math 533.

MAJOR READINGS

E. Hewitt and K. A. Ross, ABSTRACT HARMONIC ANALYSIS VOL I, Springer-Verlag, 1963
D. Dikranjan, I. R. Prodanov, and L. N. Stoyanov, TOPOLOGICAL GROUPS, Marcel Dekker, Inc. 1990

EXAMINATIONS AND ASSIGNMENTS

Routine homework problems will be assigned, and more difficult questions will be proposed for consideration.

ADDITIONAL REQUIREMENTS and/or COMMENTS

Successful completion of Wesleyan's level I courses in Algebra, Analysis, and Topology; or the equivalent; or permission of the instructor.

COURSE FORMAT: Lecture

REGISTRATION INFORMATION

Level: GRAD Credit: 1 Gen Ed Area Dept: NONE Grading Mode: Graded

Prerequisites: NONE

SECTION 01

Instructor(s): Comfort,W. Wistar

Times: .M.W... 01:10PM-02:30PM; Location: SCIE638

Reserved Seats: (Total Limit: 15)

SR. major: 3 Jr. major: 2

SR. non-major: X Jr. non-major: X SO: X FR: X

Special Attributes:

Curricular Renewal: Quantitative Reasoning

Links to Web Resources For This Course.

Last Updated on MAR-18-2003