ON SOFT e-OPEN SETS AND SOFT e-CONTINUITY IN SOFT TOPOLOGICAL SPACE

Authors : Anjan Mukherjee, Bishnupada Debnath

Pages : 1-18

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Publication Date : 2017-03-01

Article Type : Research

Abstract :In this paper, a new class of generalized soft open sets in soft topological spaces, called soft e-open set is focused and investigated some properties of them. Then focused the relationships among soft δ-pre open sets, soft δ-semi open sets, soft pre-open sets and soft e-open sets. We also investigated the concepts of soft e-open functions, soft e-continuous, soft e-irresolute and soft e-homeomorphism on soft topological space and discussed their relations with existing soft continuous and other weaker forms of soft continuous functions. Further soft e-separation axioms have been introduced and investigated with the help of soft e-open sets. Finally, we observed that the collection Ser-h(X,τ,E) form a soft group
Keywords : Soft e-open (Se-open) sets, Soft e-closed (Se-closed) sets, Soft e-continuous, soft e-irresolute and soft e-homomorphism