Topological spaces with the Freese-Nation property

• Autorzy: Judyta Bąk , Andrzej Kucharski
• Języki publikacji: EN

Abstrakty

EN

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(original abstract)

Słowa kluczowe

EN

Mathematics; Mathematical functions; Mathematical statistics; Mathematical analysis

PL

Matematyka; Funkcje matematyczne; Statystyka matematyczna; Analiza matematyczna

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2019
• Tom: 33
• Strony: 41--54

Twórcy

autor

Judyta Bąk

• Uniwersytet Jana Kochanowskiego w Kielcach Instytut Matematyki

autor

Andrzej Kucharski

• Uniwersytet Śląski w Katowicach Instytut Matematyki

Bibliografia

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Identyfikatory

DOI

10.2478/amsil-2019-0003