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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.
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.