Kocinac, Ljubisa D. R.Konca, Şükran2022-02-152022-02-1520200166-86411879-3207https://doi.org/10.1016/j.topol.2019.106996https://hdl.handle.net/20.500.14034/333International Conference on Topology and its Applications -- JUL 07-11, 2018 -- 3 High Sch Nafpaktos, Nafpaktos, GREECEIn 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.eninfo:eu-repo/semantics/closedAccessSelection principlesGame theoryMengerSet-MengerQuasi-MengerWeak Covering PropertiesInvariantsConference Object10.1016/j.topol.2019.106996275Q4WOS:0005272877000052-s2.0-85077385157Q3