MATH525 - Topics in Topology II - Infinitary Combinatorics: Topological Consequences

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Academic Year 2004/2005

Topics in Topology II - Infinitary Combinatorics: Topological Consequences
MATH 525 FA

This course may be repeated for credit.

The principles will involve: Erdos-Rado "arrow relations" (partition calculus); Ramsey theory; (maximal) almost disjoint families; stationary sets; chains and antichains in certain posets. Their consequences involve: calibers and Souslin number; product spaces; resolvability; Stone-Cech remainders; retracts; topological groups.

MAJOR READINGS

Several books will be recommended (and placed on reserve).

EXAMINATIONS AND ASSIGNMENTS

Frequent homework and unsolved problems.

ADDITIONAL REQUIREMENTS and/or COMMENTS

Successful completion of Wesleyan's first year graduate courses in Algebra, Analysis, and Topology; ot the equivalent; or permission of 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: ..T.R.. 01:10PM-02:30PM; Location: SCIE638;

Reserved Seats: (Total Limit: 15)

SR. major: 2 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-21-2005