Set-Menger and related properties

Set-Menger and related properties

In this work, we consider new types of covering properties called set-Menger, set-Rothberger, set-Hurewicz and set-Gerlits-Nagy. We investigate the relationships between set-Mengerness and some other Menger-type covering properties (such as Mengerness, weak Mengerness, quasi-Mengerness) and study to...

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Veröffentlicht in:Topology and its applications 2020-04, Vol.275, p.106996, Article 106996
Hauptverfasser: Kočinac, Ljubiša D.R., Konca, Şükran
Format: Artikel
Sprache:eng
Schlagworte:
Game theory
Menger
Quasi-Menger
Selection principles
Set-Menger
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Beschreibung
Zusammenfassung:In this work, we consider new types of covering properties called set-Menger, set-Rothberger, set-Hurewicz and set-Gerlits-Nagy. We investigate the relationships between set-Mengerness and some other Menger-type covering properties (such as Mengerness, weak Mengerness, quasi-Mengerness) and study topological properties of set-Menger and related spaces. In particular, we give a game-theoretic characterization of set-Menger spaces.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2019.106996