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Abstract 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… Click to show full abstract
Abstract 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.
Keywords:
mengerness;
related properties;
properties set;
set menger;
menger related
Journal Title: Topology and its Applications
Year Published: 2020
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Journal Title: Topology and its Applications
Year Published: 2020
Link to full text (if available)
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recommendations!