paper

Topological spaces with the Freese--Nation property II

arXiv:1904.08902

Abstract

The aim of this paper is to study the class of spaces with the FNS property and $π-\FNS$ 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 $π-\FNS$ property are skeletally generated spaces.