-Preopen
Some Allied Open Functions via Semi*Preopen and Preopen Sets in Topology
... In 1963, Levine [7] introduced the concept of semiopen sets in topological spaces. Andrijevic [1] introduced the class of semipreopen and semipreclosed sets in topological spaces. In 2013,S.pasunkilipandian [11] ...
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On New Classes of Soft Sets and Functions via Supra Preopen Sets
... Abd El-latif [1], introduced the concepts of supra soft locally closed sets and supra SLC-continuous functions in supra soft topological spaces.. Our aim of this paper, is to generalize [r] ...
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FUZZY β IRRESOLUTE MAPPING
... Throughout the paper, by (𝑋, 𝜏) or simply by 𝑋 we mean a fuzzy topological space (fts, for short) in the sense of Chang [4]. A fuzzy set [16] 𝐴 is a mapping from a nonempty set 𝑋 into a closed interval 𝐼 = [0, 1]. The ...
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Vol 2, No 11 (2011)
... Proof: (1) (2) Let (X, ) be a locally indiscrete space. Let A be a closed set and x be a point of X-A. Then by hypothesis, there exist disjoint open sets (and hence preopen sets) U and V such that x U and A V. ...
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On almost precontinuous functions
... Now suppose that X is submaximal. Let x be a point in X and V any regular open set containing f (x). Since X is submaximal, every preopen set of X is open [22, The- orem 4]. If we set Ᏺ = PO(X,x), then Ᏺ will be a ...
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Vol 9, No 4 (2018)
... strong preopen sets and strong pre continuity (see [4]), fuzzy preopen sets and fuzzy precontinuity (see [7]) ...fuzzy preopen (closed) sets, fuzzy 𝜌 -pre closure and 𝜌 -pre interior operators and ...
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Slightly β continuous functions
... sets, preopen sets, α-sets, and β-open sets play an im- portant role in the researches of generalizations of continuity in topological ...is preopen and obtained many proper- ties of such ...
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On P3 Paracompact Spaces
... (resp., A = cl(int(A)), A ⊆ cl(int(A)), A ⊆ int(cl(int(A)))). The family of all subsets of a space (X,T) which are preopen (resp., preclosed, regular open, regular closed, semiopen) is denoted by PO(X,T) (resp., ...
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On θ precontinuous functions
... be preopen [14] ...a preopen set is called ...all preopen sets contained in S and is denoted by ...all preopen sets of X is denoted by ...
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On Decomposition of New Kinds of Continuity in Bitopological Space
... In many papers, new classes of sets had been studied in topological space, then the notion of continuity between any two topological spaces (a function from X to Y is continuous if the inverse image of each open set of Y ...
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On Quasi Intuitionistic -Open Maps
... Abstract: We introduce the concept of quasi intuitionistic α-open function and quasi intuitionistic α-preopen functions. Further α-normal and α-quasi normal spaces are introduced in intuitionistic topological ...
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On p#g closed sets in Topological spaces
... The study of generalized closed (briefly g-closed) sets in a topological spaces was initiated by N.Levine in 1970[7] and in 1982 A.S.Mashhour [11] introduced the concept of preopen(briefly p-open) sets in ...
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Vol 2, No 6 (2011)
... – preopen sets in topological ...– preopen set is a particular kind of generalized open set introduced by ...set, preopen set, b– open set and –open ...
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Properties of some ∗ dense in itself subsets
... be preopen [14] if A ⊂ int ( cl (A)) . The family of all preopen sets is denoted by PO (X,τ) or simply PO (X) ...largest preopen set contained in A is called the preinterior of A and is denoted by ...
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Vol 2, No 11 (2011)
... Njastad [8] introduced the concepts of an α-sets and Mashhour et al [7] introduced α-continuous mappings in topological spaces. The topological notions of semi-open sets and semi-continuity, and preopen sets and ...
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Decompositions of m(1,2)*-Continuity
... Njastad [29] introduced the concepts of an -sets and Mashhour et al [26] introduced -continuous mappings in topological spaces. The topological notions of semi-open sets and semi-continuity, and preopen sets ...
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Semi precontinuous functions and properties of generalized semi preclosed sets in topological spaces
... Andrijevi´ c (1986) introduced the class of semi-preopen sets in topological spaces. Since then many authors including Andrijevi´ c have studied this class of sets by defining their neighborhoods, separation ...
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ON SUPERCLASSES OF $\delta$-OPEN SETS IN TOPOLOGICAL SPACES
... In 1968 [7], the class of δ-open subsets of a topological space was first introduced by Velicko. This class of sets plays an important role in the study of various properties in topological spaces. Since then many ...
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