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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