[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2014.54.2.221

On Soft Topological Space via Semiopen and Semiclosed Soft Sets

Mahanta, Juthika (Department of Mathematics NERIST)
Das, Pramod Kumar (Department of Mathematics NERIST)

Publication Information

Kyungpook Mathematical Journal / v.54, no.2, 2014 , pp. 221-236 More about this Journal

Abstract

This paper introduces semiopen and semiclosed soft sets in soft topological spaces and then these are used to generalize the notions of interior and closure. Further, we study the properties of semiopen soft sets, semiclosed soft sets, semi interior and semi closure of soft set in soft topological spaces. Various forms of soft functions, like semicontinuous, irresolute, semiopen and semiclosed soft functions are introduced and characterized including those of soft semicompactness, soft semiconnectedness. Besides, soft semiseparation axioms are also introduced and studied.

Keywords

Soft topological space; semiopen soft set; soft semicompactness; soft semicontinuity; soft semiconnectedness;

Citations & Related Records

Reference

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