Point networks for special subspaces of $\mathbb {R}^{\kappa }$
Volume 235 / 2016
Fundamenta Mathematicae 235 (2016), 227-255
MSC: Primary 54D30, 46B50.
DOI: 10.4064/fm185-3-2016
Published online: 4 July 2016
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 Gul’ko compacta follow.
