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Abstract In this note we prove that the set-Menger, set-Hurewicz and set-Rothberger properties, recently introduced in [1] , are actually another view of the Menger, Hurewicz and Rothberger properties, while… Click to show full abstract
Abstract In this note we prove that the set-Menger, set-Hurewicz and set-Rothberger properties, recently introduced in [1] , are actually another view of the Menger, Hurewicz and Rothberger properties, while the weakly set-Menger and weakly set-Rothberger properties are another view of quasi-Menger and quasi-Rothberger properties [2] , respectively. We also prove that the almost set-Menger property in [1] is different from the quasi-Menger property. Problem 4.20 from [1] is addressed.
Keywords:
related properties;
rothberger properties;
set menger;
remarks set;
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!