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A note on the Freese–Nation property and topological games

Volume 125 / 2023

Judyta Bąk Banach Center Publications 125 (2023), 17-21 MSC: Primary 54D70; Secondary 91A44, 54C10. DOI: 10.4064/bc125-2

Abstract

In this paper we present an alternative proof, using some topological game, of the fact that compact spaces with the separative Freese–Nation property for a base consisting of co-zero sets are openly generated; see [J. B¡k, A. Kucharski, Topology Appl. 304 (2021), art. 107784].

Authors

  • Judyta BąkDepartment of Mathematics, Jan Kochanowski University
    Uniwersytecka 7, 25-406 Kielce, Poland
    e-mail

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