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On regular b-open sets in topological spacesKeywords: Topological spaces , rb-open set , rb-closed set , rb-interior , rbclosure , rb-closed space Abstract: The purpose of this paper is to introduce and study regular bopensets (briefly rb-open sets) in topological spaces and obtain some oftheir properties. We introduce the rb-closure and discuss some basicproperties of the rb-closure. Also we study the new concepts of rb-closedspaces by means of filter bases.
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