ideal topological space.
δ ̂ω Closed Sets in Ideal Topological Space
... Proof: Let A be an arbitrary regular generalized closed set in the space X. Suppose cl(A) ⊆ U . Whenever A ⊆ U and U is regular open. i.e., A ⊆ U and U is regular open, every regular open set in X is open. Then by ...
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Some Characterizations of β-paracompactness in Ideal Topological Space
... Abstract. In this paper, we introduce β-paracompactness with respect to an ideal (I-β -paracompactness) as a weak form of β-paracompactness and I-paracompactness. We give some relations between this concept and ...
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Soft Semi Local Functions in Soft Ideal Topological Spaces
... of ideal topological spaces can be found in some classical texts of Kura- towski [16, 17] and Vaidyanathaswamy ...of ideal topological spaces can be found in various branches of mathematics, ...
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REGULAR WEAKLY HOMEOMORPHISM IN IDEAL TOPOLOGICAL SPACES
... a topological space with no separation properties ...a topological space ( , ) X , cl A ( ) and int A ( ) denote the closure and interior of A in ( , ) X , ...An ideal I on a ...
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Some new sets in Ideal topological spaces
... An ideal on a topological space (X, ) is a non empty collection of subsets of X which satisfies the following properties (i) A I and B A implies B I (ii) A I and B I implies A B ...An ...
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On I (s*g)-Continuous Functions in Ideal Topological Spaces
... A space X is called a T 1/2 -space [3] if every g-closed set in X is ...an ideal topological space and A is a subset of X , then (A, τ A , I A ) is an ideal topological ...
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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, ) ...
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Vol 9, No 9 (2018)
... An ideal I on a topological space (X, τ) is a non-empty collection of subsets of X which satisfies the following properties : (1) A ∈ I and B ⊆ A implies B ∈ I, (2) A ∈ I and B ∈ I implies A ∪ B ∈ ...
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LOCAL FUNCTIONS ON p-OPEN SETS IN IDEAL TOPOLOGICAL SPACES
... of ideal topological ...defining ideal topological space which has its application in localization theory in set topology by Vaidyanathaswamy ...an ideal I in ...in ideal ...
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A New Form of Nano Generalized Closed Sets in Nano Ideal Topological Spaces
... in topological spaces. The concept of ideal topological space was introduced by kuratowski ...in ideal topological ...of ideal topological ...in ideal ...
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RgI Closed Sets in Ideal Topological Spaces
... Remark 4.17 Intersection of two rgI-closed sets is need not be a rgI-closed set. In Example 4.4 the sets {a, c} and {b, c} are rgI-closed sets but their intersection {c} is not rgI-closed. Theorem 4.18 If A is a ...
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Vol 3, No 6 (2012)
... A topological space ( X , τ ) with an ideal I on X is called an ideal topological space and is denoted by ( X , τ , I ) ...an ideal on Y and by ( Y , τ / Y , I Y ) we ...
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New type of connectedness in ideal topological spaces
... a topological space endowed with an additional structure namely the ...in ideal topological ...defining ideal topological space which has its application in localization ...
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On Decompositions of Continuity and Complete Continuity in Ideal Topological Spaces
... every ideal topological space, there exists a topology τ ∗ (I ) or briefly τ ∗ , finer than τ , generated by β(I, τ) = { U \ I : U ∈ τ and I ∈ I } , but in general β(I , τ) is not always a topology [ ...
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Topological Residuated Lattices
... normal topological residuated ...a topological space (X, U ) is regular if for each x ∈ U ∈ U , there exists an open set H such that x ∈ H ⊆ H ⊆ ...
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GRILL ON GENERALIZED TOPOLOGICAL SPACES
... grill topological spaces[16] as like ideal topological spaces[9] has been started from 2007 although the study of grill [3,1,2,18] in topological spaces was started from 1947 at different ...
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Compactness in Multiset Topology
... topological space. We investigate some basic results in compact multiset topological space similar to the results in compact topological ...
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On Generalized Continuous Fuzzy Proper Function from a Fuzzy Topological Space to another Fuzzy Topological Space
... (𝐴̃, 𝑇̃) is said to be a fuzzy topological space on fuzzy set 𝐴̃ (or f.t.s on 𝐴̃) and the members of 𝑇̃ are said to be fuzzy open sets of 𝐴̃. We denote T̂ c the family of fuzzy closed sets of 𝐴̃, that is 𝐵̃ ...
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Compactness in Countable Fuzzy Topological Space
... After the discovery of fuzzy sets, several authors have generalized different topological concepts to fuzzy topological space. In this regard, the concept of compactness and some of its weaker and ...
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The two dimensional viscous froth model for foam dynamics
... ture which is forced through a narrow channel with a 180° bend, as in Fig. 11. This is one of many interesting experi- mental devices demonstrated in the experiments of Weaire et al. [26]; further details will be given ...
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