WITHDRAWN: About soft topological spaces

Peyghan, E.; Samadi, Babak; Tayebi, A.

doi:10.1016/j.topol.2012.03.017

Cited by 19 publications

(18 citation statements)

References 9 publications

(6 reference statements)

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“…Peyghan et al introduce and study the notions of soft connected topological spaces in [4]. In this section, we introduce semiconnectedness in a soft topological space and examine its properties.…”

Section: Soft Semiconnectednessmentioning

confidence: 99%

On Soft Topological Space via Semiopen and Semiclosed Soft Sets

Mahanta¹,

Das²

2014

Kyungpook mathematical journal

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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.

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Section: Soft Semiconnectednessmentioning

confidence: 99%

On Soft Topological Space via Semiopen and Semiclosed Soft Sets

Mahanta¹,

Das²

2014

Kyungpook mathematical journal

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“…In 2011 and 2012 few researches (see, for example, [3], [6], [10], [17], [23], [24], [26]) introduced and studied the notion of soft topological spaces which are defined over an initial universe with a fixed set of parameters.…”

Section: Preliminariesmentioning

confidence: 99%

“…Definition 4.1 (see [23]) Let (F, A) ∈ SS(X, A) and (G, B) ∈ SS(Y, B). The Cartesian product of (F, A) and (G, B) is the soft set…”

Section: Cartesian Product Of Two Soft Topological Spacesmentioning

confidence: 99%

On Soft Topological Spaces

Georgiou¹,

Megaritis²,

Petropoulos³

2013

Appl. Math. Inf. Sci.

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Abstract:The classical mathematical theories have their difficulties which are pointed out in [18] for the solution complicated problems in engineering and environment. To overcome these difficulties, Molodtsov [18] introduced the concept of soft set as a new mathematical tool. Furthermore, D. Pei and D. Miao [22] showed that soft sets are a class of special information systems. In [9] for the soft set theory: new definitions, examples, new classes of soft sets, and properties for mappings between different classes of soft sets are introduced and studied. Moreover, the theory of soft topological spaces is investigated. This paper continues the study of the theory of soft topological spaces and presents for this theory new definitions, characterizations, and results concerning separation axioms, convergence, Cartesian product, soft θ -topology, and soft θ -continuity.

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“…Sabir and Nas 2011 [7] introduced and studied the concept of soft topological spaces over soft sets and some related concepts. In 2011 [1] Aygunogla , Aygun introduced the soft product topology, E. Peygh and B. Samadi , A.Tayebi 2013 [5] introduced soft locally connected of a soft point and soft connected spaces depending on soft disjoint non-null soft open sets. Let SS(X, A) be the collection of all soft sets over the set X where A is the set of parameters.…”

Section: Introductionmentioning

confidence: 99%