MATH525 - Topics in Topology II: Compactness and Algebraic Structures

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Academic Year 2003/2004

Topics in Topology II: Compactness and Algebraic Structures
MATH 525 FA

This course may be repeated for credit.

COMPACTNESS AND VARIANTS. Stone-Cech compactification as: Subspace of a cube; ultrafilter space; maximal ideal space of the ring or l-group C(X,R). Boolean algebras: Stone representation; completion. Extremally and basically disconnected spaces. Rings and l-groups of extended real-valued functions (e.g., measurable mod null).

MAJOR READINGS

R. Engelking, GENERAL TOPOLOGY, Heldermann, 1989
L. Gillman and M. Jenson, RINGS OF CONTINUOUS FUNCTIONS, van Nostrand, 1960 (reprinted by Springer-Verlag)
D. Monk and R. Bonnet, editors, HANDBOOK OF BOOLEAN ALGEBRAS, North-Holland, 1989.
A. Bigard, K. Keimel, S. Wolfenstein, GROUPES ET ANNEAUX RETICUBES, Springer-Verlag, 1977.

EXAMINATIONS AND ASSIGNMENTS

Routine and non-routine homework and open problems.

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): Hager,Anthony

Times: ..T.R.. 10:30AM-11:50AM; 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-19-2004