[PDF] Top 20 On Generalized β-Open Sets in Ideal Bitopological Space
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On Generalized β-Open Sets in Ideal Bitopological Space
... semi-open sets in bitopological ...An ideal I on a topological space (X, τ ) is a collection of subsets of X having the heredity property (i) if A ∈ I and B ⊂ A then B ∈ I and (ii) if A ... See full document
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ON NANO GENERALIZED SEMI CLOSED SETS IN NANO BITOPOLOGICAL SPACES
... semi open sets in bitopological ...semi generalized and generalized semi closed sets in nano topological space ...of sets on nano bitotpological spaces called nano ... See full document
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δ ̂ω Closed Sets in Ideal Topological Space
... regular generalized closed set, if cl(A) ⊆ U , whenever A ⊆ U and U is regular open in ...weakly generalized closed set, if clint(A) ⊆ U , whenever A ⊆ U and U is open in ...semi open ... See full document
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Strongly (1,2)( ĝ )* Closed Sets In Bitopological Space
... pre-closed sets in 1982. N. Levine [4] introduced the class of (generalized closed sets) g -closed sets in ...gs-closed sets (generalized semi-closed sets) in ...g*-closed ... See full document
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Generalized Closed Sets with Respect to an Ideal
... of generalized closed ...topological space (X , τ ) is said to be generalized closed (briefly g-closed) if cl(A) ⊂ U whenever A ⊂ U and U is open in (X , τ ... See full document
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Vol 6, No 11 (2015)
... of Bitopological Spaces was initiated by Kelly [7] in 1963 ...a bitopological space and denoted it by (𝑋𝑋, 𝜏𝜏 1 , 𝜏𝜏 2 ) where (𝑋𝑋, 𝜏𝜏 1 ) and (𝑋𝑋, 𝜏𝜏 2 ) are the topological ...closed sets in ... See full document
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Ideal Bitopological B-R0 (-R1) Spaces
... -closed sets of X containing A is called the (i, j )-b- I - closure of A and is denoted by (i, j)-b I ...-open sets of X containing A is called the (i, j)-b- I -kernal of A and is denoted by (i, j)-b ... See full document
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On Semi-open Sets with Respect to an Ideal
... semi-open sets and generalized closed sets [11, 12], there have been other attempts by some topologists to study closed sets - to- gether with the accompanying topological notions - ... See full document
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Some Fundamental Properties of Beta-open Sets in Ideal Bitopological Spaces
... An ideal I on a topological space (X , τ) is a nonempty collection of subsets of X which satisfies (i) A ∈ I and B ⊂ A implies B ∈ I and (ii) A ∈ I and B ∈ I implies A ∪ B ∈ I ...a bitopological ... See full document
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open sets and open sets in Quad Topological Space
... of open set in topological space called pre semi open sets ( open ... open sets in bitopological ...of bitopological spaces was introduced by J ... See full document
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On a Weaker Form of b-open Sets in Extended Topological Spaces
... α-open sets. The notion of semi-open sets was introduced by Levine [10] and Mashhour [12] introduced pre-open sets in topological ...of generalized open sets ... See full document
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On Decomposition of New Kinds of Continuity in Bitopological Space
... topological space, there are many classes of generalized open sets given by [2] [3] [4] ...in bitopological space via new classes of sets called pj - b -preopen, pj - b - ... See full document
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Vol 6, No 7 (2015)
... of generalized open sets in a topological space called b-open sets was introduced by Andrijevic ...I-open sets in topological ...g-closed sets and g-closed ... See full document
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$\tau_1\tau_2$-#g Closed Sets in Bitopological Spaces
... semi open sets in 1963 and also Levine [12] introduced generalized closed sets in ...introduced β-open sets. Veerakumar[15] introduced # g-closed sets in ... See full document
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ij-Generalized Delta Semi Closed Sets
... closed sets in a bitopological space (, , ). Let U be a − δ open in X and ∪ < ⊆ ...δ open in X and A and B are – %1 closed sets, we have − scl(A) ⊆ & and − scl(B) ⊆ ... See full document
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(i,j) β I i Open Sets and (i,j) β I i Almost Continuous Functions in Ideal Bitopological Spaces
... j)-β-I-i- open set U containing x, U ∩ (A ∪ (i, j)-β-I-i D(A)) \ { x } ̸ = ...a space X , the (i, j)-β-I-i-closure of A, denoted by (i, j)-β-I-i Cl(A), is defined by the ... See full document
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Ideal Bitopological B-T0 (-T1, -T2) Spaces
... (2) ⇒ (3): If A ⊂ X, then for each point y / ∈ A, there exists a set X \{ y } such that A ⊂ X \{ y } and each of these sets X \{ y } is (i, j)-b- I -open. Hence A = ∩ { X \{ y } : y ∈ X \ A } so that the ... See full document
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On Upper and Lower 𝛽(𝜇𝑋,𝜇𝑌) Continuous Multifunctions
... a generalized topology briefly, GT on X if ∅ ∈ μ, and an arbitrary union of elements of μ belongs to μ ...a generalized topological space briefly, GTS and is denoted by X, ...μ-open ... See full document
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Some points on generalized open sets
... such sets. The complement of a λ-open is called λ-closed, and for a topological space, each closed set is a λ-closed ...topological space and another being the indiscrete topological ...λ- ... See full document
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On -closed sets in bitopological spaces
... -closed sets [12] in bitopological spaces. Properties of these sets are investigated and we introduce two new bitopological spaces (i, j)- T ˆˆ 1/ 2 spaces and (i, j)- T ˆ f spaces as ... See full document
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