Kocinac, Ljubisa D. R.Konca, ŞükranSingh, Sumit2023-03-222023-03-2220220139-99181337-2211https://doi.org/10.1515/ms-2022-0013https://hdl.handle.net/20.500.14034/776Motivated 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.eninfo:eu-repo/semantics/openAccessMengerstar-Mengerstrongly star-Mengerset star-Mengerset strongly star-MengerArticle10.1515/ms-2022-0013721185196Q1WOS:0007577807000112-s2.0-85126020894Q2