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Topics in Topology II MATH525 SP

Spaces with filters. The category is called SpFi. An object is a compact Hausdorff space with a distinguished filter base of dense open sets. A morphism is a continuous map inversely preserving the filter bases. SpFi is very useful in certain studies of Boolean algebras, lattice-ordered groups, and frames. But, SpFi is a relative wilderness -- it's not even very clear what a subspace is. We shall explore.

MAJOR READINGS

EXAMINATIONS AND ASSIGNMENTS

ADDITIONAL REQUIREMENTS and/or COMMENTS

COURSE FORMAT: Lecture

REGISTRATION INFORMATION

Level: GR Credit: 1.00

Prerequisites: None

Last Updated on MAR-03-1998