Article ID Journal Published Year Pages File Type
4661357 Topology and its Applications 2007 5 Pages PDF
Abstract

If X is a completely regular Hausdorff topological space we show that: (i) if H is a compact subset of Cp(X) and X contains a quasi-Souslin subspace which separates the functions of H, then H is Talagrand compact, and (ii) Cp(X) is quasi-Souslin if and only if it is K-analytic.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology