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Point networks for special subspaces of $\mathbb {R}^{\kappa }$

Volume 235 / 2016

Ziqin Feng, Paul Gartside 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.

Authors

  • Ziqin FengDepartment of Mathematics and Statistics
    Auburn University
    Auburn, AL 36849, U.S.A.
    e-mail
  • Paul GartsideDepartment of Mathematics
    University of Pittsburgh
    Pittsburgh, PA 15260, U.S.A.
    e-mail

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