Set-Menger and related properties

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Tarih

2020

Dergi Başlığı

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Cilt Başlığı

Yayıncı

Elsevier

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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. (C) 2019 Elsevier B.V. All rights reserved.

Açıklama

International Conference on Topology and its Applications -- JUL 07-11, 2018 -- 3 High Sch Nafpaktos, Nafpaktos, GREECE

Anahtar Kelimeler

Selection principles, Game theory, Menger, Set-Menger, Quasi-Menger, Weak Covering Properties, Invariants

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