Browsing by Author "Lakehal, Rachid"

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    Almost and weakly nsr, nsm and nsh spaces
    (Department of Pure Mathematics, Ferdowsi University of Mashhad Tusi Mathematical Research Group (TMRG), 2021) Lakehal, Rachid; Kočinac, Ljubiša D. R.; Seba, Djamila
    We introduce and study some new types of star-selection princi-ples (almost and weakly neighborhood star-Menger, neighborhood star-Rothb-erger, and neighborhood star-Hurewicz). We establish some properties of theseselection principles and their relations with other selection properties of topo-logical spaces. The behavior of these classes of spaces under certain kinds ofmappings is also considered
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    Neighbourhood star selection properties in bitopological spaces
    (University of Nis, 2021) Lakehal, Rachid; Kočinac, Ljubiˇsa D.R.; Seba, Djamila
    In this paper we introduce and study some new types of star-selection principles ((i, j)-NSM, (i, j)-NSR and (i, j)-NSH) in bitopologivcal spaces. Various properties of these selection properties are established and their relations with known selection principles are discussed. Several examples are given
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    Some star selection principles and applications
    (Université M'hamad Bougara : Faculté des Sciences, 2021) Lakehal, Rachid; Seba, Djamila(Directeur de thèse)
    In this thesis, we study some covering properties in topological and bi-topological spaces, using open and closed covers, neighborhoods and Menger, Rothberger, Hurewicz and Lindelof covering properties. New types of star selection principles are introduced in both topological and bi-topological spaces. Some selection principles properties are established. Moreover, a set of relations between the newly de?ned notions and classical selection principles are proved. Similarities and di?erences among each other are also discussed