Speaker: 
Paul Gartside Assistant Professor Department of Mathematics University of Pittsburgh 

Title: 
Function Spaces: Small cardinals, sigmacardinals and
sequential density


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 sigmacardinals.