Ernest Schimmerling

Mathematical logic seminar - December 4, 2002

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

Title: Function Spaces: Small cardinals, sigma-cardinals and sequential density


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.