Department of Mathematics
University of Pittsburgh
Function Spaces: Small cardinals, sigma-cardinals and
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.