Luthra, S.Chauhan, H.V.S.Tyagi, B.K.Tunc, C.2025-05-102025-05-1020222219-56882-s2.0-85130795434https://hdl.handle.net/20.500.14720/317We introduced the concept of (a)-θ-compactness and (a)-θ-Mengerness in (a)topological spaces. We discussed the relationship of the above notions with the other known covering properties. It is shown that the product of two (a)-θ-Menger (resp. (a)-θ-compact) spaces is (a)-θ-Menger (resp. (a)-θ-compact) if one of them is (a)s-compact. If Xi is (a)-θ-Menger for each finite i, then (a)topological space X satisfies the selection principle Sfin(Θ-Ω(X ), Θ-Ω(X)). Further, it is shown that the (a)-θ-Menger covering property is preserved under (a)-θ-continuous and (a)-strongly-θ-continuous map. © Palestine Polytechnic University-PPU 2022.eninfo:eu-repo/semantics/closedAccess(A)-Θ-Compact(A)-Θ-Menger(A)-Θ-Open SetsContinuous FunctionsCovering PropertiesSelection PrinciplesArticle112N/AQ4531541