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

preprint2015arXivOpen access

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

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Point Networks for Special Subspaces of Rκ\mathbb{R}^κRκ

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