A note on the Freese–Nation property and topological games
Volume 125 / 2023
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].