Topological spaces with the Freese–Nation property

Judyta Bąk; Andrzej Kucharski

Published: 2019-05-09

Vol. 33 (2019)

Topological spaces with the Freese–Nation property

Judyta Bąk , Andrzej Kucharski

Abstract

We give a proposal of generalization of the Freese–Nation property for topological spaces. We introduce a few properties related to Freese–Nation property: FNS, FN, FNS^*, FNI. This article presents some relationship between these concepts. We show that spaces with the FNS property satisfy ccc and any product of such spaces also satisfies ccc. We show that all metrizable spaces have the FN property.

Keywords:

FNS property , an inverse limit , openly generated space , ccc

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Bąk, J., & Kucharski, A. (2019). Topological spaces with the Freese–Nation property. Annales Mathematicae Silesianae, 33, 41–54. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13649

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Judyta Bąk

Affiliation:

Instytut Matematyki, Uniwersytet Jana Kochanowskiego w Kielcach oraz Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland

Andrzej Kucharski

andrzej.kucharski@us.edu.pl

Affiliation:

Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland

Vol. 33 (2019)
Published: 2019-07-18

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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