English

Topological spaces with the Freese--Nation property II

General Topology 2019-04-19 v1

Abstract

The aim of this paper is to study the class of spaces with the FNS property and π\FNS\pi-\FNS property. We shown that compact spaces with the FNS property for some base consisting of cozero-sets are openly generated spaces and spaces with the π\FNS\pi-\FNS property are skeletally generated spaces.

Keywords

Cite

@article{arxiv.1904.08902,
  title  = {Topological spaces with the Freese--Nation property II},
  author = {Judyta Bąk and Andrzej Kucharski},
  journal= {arXiv preprint arXiv:1904.08902},
  year   = {2019}
}