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![]() Title:New Separation Axioms and Continuous Functions in Bitopological Spaces Conference:TMREES26Lb Tags:Bito. Sp, Bito. Sp., HS-continuous function, HS-normal space, HS-open set, HS-regular space, HS-separation axioms and HS-T_2 space Abstract: HS-open sets introduce and additional framework within the family of generalized open sets defined on bitpological spaces. This study examines their essential characteristics and clarifies how they interact with several existing forms of generalized open sets. Building on the concept of HS-open sets, the study develops a new framework of separation axioms by introducing the notions of HS-Hausdorff, (HS-T₂), HS-regular, and HS-normal spaces, together with their fundamental properties and relationships with the corresponding classical bito. sp. In addition, the concept of HS-continuous functions is introduced, and several characterizations and preservation results are established. These findings extend the theory of generalized openness and provide a broader foundation for the study of separation axioms and continuity in bito. sp. New Separation Axioms and Continuous Functions in Bitopological Spaces ![]() New Separation Axioms and Continuous Functions in Bitopological Spaces | ||||
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