# Topological spaces with the Freese--Nation property II

Source: [Topological spaces with the Freese--Nation property II](<https://www.sota2.com/research/paper/68fa55c41e209131ce996cea>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T13:46:45.512Z

Authors: Judyta B\\k{a}k, Andrzej Kucharski

Published: 2019-04-18T17:28:16.000Z

## Abstract

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

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1904.08902>)

[PDF](<https://arxiv.org/pdf/1904.08902.pdf>)