| Speaker: |
Paul Gartside Assistant Professor Department of Mathematics University of Pittsburgh |
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| Title: |
Function Spaces: Small cardinals, sigma-cardinals and
sequential density
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| Abstract: |
A topological space, X, is "sequentially separable" if it contains a countable subset D so that every point of X is a limit of a sequence on D. We will discuss when the Tychonoff product of spaces is sequentially separable, and when the function space C_p(Y) is sequentially separable. Answers depend on the small cardinals p and q, and on sigma-cardinals.