Point Networks for Special Subspaces of $\mathbb{R}^κ$

Abstract

Uniform characterizations of certain special subspaces of products of lines are presented. The characterizations all involve a collection of subsets (base, almost subbase, network or point network) organized by a directed set. New characterizations of Eberlein, Talagrand and Gulko compacta follow. 2010 Mathematics Subject Classification. 54C05 54D30 46B50.