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arxiv: 1203.4133 · v1 · pith:CB5P434Cnew · submitted 2012-03-16 · 🧮 math.GN

On soft topological space via semiopen and semiclosed soft sets

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keywords softsemiopensetssemiclosedtopologicalclosurefunctionsinterior
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This paper introduces semiopen and semiclosed soft sets in soft topological spaces. The notions of interior and closure are generalized using these sets. A detail study is carried out on properties of semiopen, semiclosed soft sets, semi interior and semi closure of a soft set in a soft topological space. Various forms of soft functions, like semicontinuous, irresolute, semiopen soft functions are introduced and characterized. Further soft semicompactness,soft semiconnectedness and soft semiseparation axioms are introduced and studied.

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