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

Ziqin Feng; Paul Gartside

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arXiv · 1409.7337

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

Ziqin Feng·Paul Gartside

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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.

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Ziqin Feng, Paul Gartside. 2014-09-25. Point Networks for Special Subspaces of $\mathbb{R}^{\kappa}$. https://arxiv.org/abs/1409.7337

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