topological space
Behavior of open sets in bi-Alexandroff topological space
... the topological structures have many applica- tions in our daily ...bitopological space was first introduced by Kelly [5], and tritopological spaces was implemented by Mar- tin ...quad topological ...
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Infra Generalized b-Closed Sets in Infra Topological Space
... Definition 2.3: Let (X, ) be an infra topological space. A subset C is called infra-closed set (ICS) in X if X \C is infra-open set in X. (i.e) C is infra-closed set (ICS) iff X \C . Definition 2.4: Let (X, ...
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Separation Axioms on Topological Space - A Unified Version
... Example 2. (a) Let X = {a, b, c} and τ = { ∅ , {a}, {a, b}, X }. Then (X , τ) is a topological space. Consider the mapping ψ : P (X ) → P (X ) defined by ψ( ∅ ) = ψ({b}) = ψ({c}) = ∅ , ψ({a}) = {a}, ψ({b, ...
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Regular Weakly Generalized Homoeomorphism in Intuitionistic Fuzzy Topological Space
... In this case the pair (X, τ) is called an intuitionistic fuzzy topological space (IFTS in short) and any IFS in τ is known as an intuitionistic fuzzy open set (IFOS in short) in X. The complement A c of an ...
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A Weaker form of Contra Continuous Function in Nano Topological Space
... In this paper, we introduced a weaker form of Contra continuous function called Contra Nwg-continuous function in Nano topological space. Some of its characterization are analyzed in terms of Nwg-closure ...
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On Soft Almost Paracompactness in Soft Topological Space
... Soft topological Space is considered as Mathematical tools for dealing with uncertainties, and a fuzzy topological space is a special case of the soft topological ...soft ...
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On #Regular Generalized Open Sets In Topological Space
... In this paper we introduce and study #regular generalized open (briefly, #rg-open) sets in topological space and obtain some of their properties. Also, we introduce #rg- neighbourhood (shortly #rg-nbhd) in ...
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Nano Generalized Regular Continuity Innano Topological Space
... In 1970, Levine [9] introduced the concept of generalized closed sets as a generalization of closed sets in Topological space. In 2011, Sharmistha Bhattacharya [11] have introduced the notation of ...
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Some Characterizations of β-paracompactness in Ideal Topological Space
... Throughout this work, (X, τ ) denotes a topological space on which no separation axioms are assumed unless clearly indicated. If A is a subset of (X, τ ), then the closure of A and the interior of A will be ...
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open sets and open sets in Quad Topological Space
... in topological space called pre semi open sets ( open ...Tri topological space is a generalization of bitopological ...tri- topological space was first initiated by Martin ...
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Semi compact space in a topological space
... Definition: 6.1 A topological space X , is said to be semi -L-locally compact if every point of X is contained in a semi -L-neighbourhood whose semi -L-closure is semi -L-compact.... [r] ...
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Some New Concepts of Continuity in Generalized Topological Space
... fine space has been initiated by Powar and Rajak in ...generalized topological space [8] it has been noticed that the fine space is a special case of generalized topological ...
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Fuzzy Connectedness in Fuzzy Quad Topological Space
... [14] Sethupathy Raja K.S. and Lakshmivarahan,Connectedness in fuzzy topological space, Kybernetika, 13(3), (1977). [15] Swart J., Total disconnectedness in bitopological spaces and product bitopological ...
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Fuzzy Generalized $\gamma$-Closed set in Fuzzy Topological Space
... In 1999, Hanafy et al introduced fuzzy γ open sets and fuzzy γ continuity.In 2013, Author study and introduced fuzzy generalized γ continuity in fuzzy topological space.In the present paper, we investigate fuzzy ...
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Parameterized Topological Space Induced by an Intuitionistic Fuzzy Soft Multi Topological Space
... multi topological space and it is shown that an intuitionistic fuzzy soft multi topological space gives a family of parameterized topological spaces and some basic properties regarding ...
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Neutrosophic Vague Generalized Pre Connectedness in Neutrosophic Vague Topological Space
... vague topological space such as neutrosophic vague C 5 -connected space, neutrosophic vague generalized connected space and neutrosophic vague generalized pre connected ...connected ...
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Soft Pre Generalized - Closed Sets in a Soft Topological Space
... Conclusion: The initiation of notation of soft topological space was introduced by D.Molodtsov [5] in 1999. Many Mathematicians turned their attention to the various concepts of soft topological ...
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Study on Fuzzy Topological Space
... Proof. Let X be a T1 fuzzy topological space and A be a subspace of X. So τA = {GA |GA = ( , G|A), G τ}. Let , y A such that x ≠ y. Then , y X are two distinct points and as X is T1, there exist U, V τ such ...
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On Generalized Continuous Fuzzy Proper Function from a Fuzzy Topological Space to another Fuzzy Topological Space
... Balasubramanian and Sundaram )4( defined fuzzy generalized closed set in fuzzy topological space (or f. t. s. in short) on X. I X is denoted the collection of all mapping from X in to I=[0,1]. A fuzzy set ...
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Gem-Separation Axioms in Topological Space
... in topological spaces are treated in the standard text by Kuratowski [8] and Vaidyanathaswamy ...of topological ideal as defined below : An ideal ℐ on a topological space ( X, ) is a non empty ...
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