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Browsing by Author "Tyagi, B.K."

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    Covering Properties by (a)-Θ Sets in (A)topological Spaces
    (Palestine Polytechnic University, 2022) Luthra, S.; Chauhan, H.V.S.; Tyagi, B.K.; Tunc, C.
    We 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.