English

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

General Topology 2015-01-12 v2

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.

Keywords

Cite

@article{arxiv.1409.7337,
  title  = {Point Networks for Special Subspaces of $\mathbb{R}^{\kappa}$},
  author = {Ziqin Feng and Paul Gartside},
  journal= {arXiv preprint arXiv:1409.7337},
  year   = {2015}
}
R2 v1 2026-06-22T06:05:58.250Z