Lakehal, RachidSeba, Djamila(Directeur de thèse)2022-01-202022-01-202021https://dspace.univ-boumerdes.dz/handle/123456789/757790 p. : ill. ; 30 cmIn 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 discussedenTopological spacesBitopological spacesAlmostStar-MengerSome star selection principles and applicationsThesis