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    Set star-menger and set strongly star-menger spaces
    (Walter De Gruyter Gmbh, 2022) Kocinac, Ljubisa D. R.; Konca, Şükran; Singh, Sumit
    Motivated by the Arhangel'skii s-Lindelof cardinal function definition, Kocinac and Konca defined and studied set covering properties and set star covering properties. In this paper, we present results on the star covering properties called set star-Menger and set strongly star-Menger. We investigate the relationship among set star-Menger, set strongly star-Menger and other related properties and study the topological properties of set star-Menger and set strongly star-Menger properties.
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    Set-Menger and related properties
    (Elsevier, 2020) Kocinac, Ljubisa D. R.; Konca, Şükran
    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.
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    Variations of some star selection properties
    (Amer Inst Physics, 2021) Kocinac, Ljubisa D. R.; Konca, Şükran; Singh, Sumit
    In this paper we introduce some new types of star covering properties which we call set (strongly) star Menger, set (strongly) star Rothberger, set (strongly) star Hurewicz properties. We consider also weaker versions of these properties, discuss their relationships with some other selective covering properties, and study topological properties of introduced classes of spaces.