[PDF] Top 20 Fine GS Closed Sets and Fine SG Closed Sets in Fine Topological Space
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Fine GS Closed Sets and Fine SG Closed Sets in Fine Topological Space
... a Fine space (X, 𝜏, 𝜏 𝑓 ). is called a Fine semi generalized limit point (written as F-sg- limit point ) of a subset A of Fine space X , if for each F-sg-open set U ... See full document
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Vol 8, No 10 (2017)
... Every topological Space can be defined either with the help of axioms for the closed sets or the Kutatowiski closure ...of closed sets in the topological ... See full document
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Vol 9, No 3 (2018)
... fuzzy topological spaces in ...Subrings. Fine topological space was introduced by Power ...[8]. Fine fuzzy topological spaces are introduced and studied the concept of ... See full document
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Supra*g-Closed Sets in Supra Topological Spaces
... supra topological spaces and studied S-continuous functions and S*- continuous ...generalized closed sets, supra sg-closed sets and gs-closed sets in supra ... See full document
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Vol 6, No 10 (2015)
... (briefly gs-closed) if scl (A) ⊆ U whenever A ⊆ U and U is open in ( X, τ ...-generalized closed set [12] (briefly α g-closed) if αcl (A) ⊆ U whenever A ⊆ U and U is open in ( X, τ ... See full document
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Behavior of open sets in bi-Alexandroff topological space
... (ii) ⇒ (i). Let A be a pre-bi open subset of X, so that A ⊂ bi −int (bi − cl(A)) = U (say). Then bi −cl(A) = bi − cl(U), so that bi −cl((X −U) ∪ A) = bi − cl(X −U) ∪ bi− cl(A) = (X − U) ∪ bi − cl(U ) = X, and hence (X − ... See full document
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Vol 3, No 1 (2012)
... Generalized closed sets in a topological space were introduced by Levine [6] in order to extend many of the important properties of closed sets to a larger ...uniform ... See full document
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g*-Closed Sets in Topological Spaces
... is gs - continuous , g - continuous , wg - continuous , gsp - continuous and gp - continuous ... closed sets of(X, ) are , X, {c}, {a, c}, {b, c}and that of (Y, ) are , Y, {b},{c},{a, ... See full document
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On αsg closed sets in Topological spaces
... the topological space X = {a, b, c, d},with topology τ = {X, φ, {a} , {b} , {a, b} , {a, b, c} , {a, b, ...this space,the set {a} is αsg-closed set but not ˜ g-closed set and the set ... See full document
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**g Closed Sets in Topological Spaces
... generalized closed sets and semi open ...β sets and Njastad introduced α sets and Mashour, Abd El-Monsef and Deeb introduced pre-open ...β sets as semi pre-open ...closed ... See full document
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g- Closed Sets In Topological Spaces
... Semi-generalized closed sets in topology, Indian ...open sets, ...N.,Semi-open sets and semi-continuity in topological spaces, ...N.,Generalized closed sets in ... See full document
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On generalized $\alpha$ regular-interior and generalized $\alpha$ regular-closure in Topological Spaces
... in topological spaces using the notions of gαr-closed sets and obtain some related ...non-empty topological spaces on which no separation axioms are assumed, unless otherwise ...gαr-open ... See full document
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: 54A05,54B05,54C08 ,54D10 KEY WORDS: semipreopen sets, g-closed sets .gr-closed sets ,rg-closed sets ,gb-closed sets.
... (i) Every r-closed set is wgr-closed set. (ii) Every gr-closed set is wgr-closed set. (iii)Every rb-closed set is wgr –closed set. (iv)Every wgr-closed set is ... See full document
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1. Intuitionistic fuzzy sgp-closed sets
... (a) Intuitionistic fuzzy g-closed if cl (A) O whenever A O and O is intuitionistic fuzzy open.[15] (b) Intuitionistic fuzzy rg-closed if cl (A) O whenever A O and O is intuitionistic fuzzy regular ... See full document
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Vol 6, No 9 (2015)
... g closed subset in (X, 𝜏𝜏) for every closed subset V in (Y, ...g* closed subset in (X, 𝜏𝜏) for every closed subset V in (Y, ...r closed subset in (X, 𝜏𝜏) for every closed subset ... See full document
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Minimal closed sets and maximal closed sets
... index sets, namely, Λ \ Γ = Λ − Γ , and the cardi- nality of a set Λ is denoted by | Λ | in the following ...a topological space X is called a pre-open set if M ⊂ Int(Cl(M)) and a subset M is called ... See full document
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G-Nαg Closed Sets and G-Ngα Closed Sets in Grill Nano Topological Spaces
... Proof: i) G-Nα g-cl(A)= ∩{C:A⊆ C, C is G-Nα g-closed} X-G- Nα gcl(A) = X-∩{C:A⊆C, C is G-Nα gclosed} =∪ {X-C: A⊆ C, C is a G-Nα g -closed} =∪ {U: U⊆ X-A is GNα g -open} =G-Nα g-int(X-A) ... See full document
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Properties of g*-closed sets in topological spaces
... Proof: Let f:X→Y be G*-continuous. Let A X. Then Cl(f(A)) is closed in Y. Since f is G*-continuous, f -1 (Cl(A)) is G*-closed in X. Suppose y ϵ f(x), x ϵ G*Cl(A) . Let U be an open set containing y ... See full document
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Properties of sg* closed sets in topology
... that sg*-ker ({x}) ≠ sg*-ker ({y}) , then there exists a point z in X such that z sg*-ker ({x}) and z sg*-ker ... sg*-ker ({x}) it follows that {x} sg*Cl ({z}) ≠ ... See full document
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Generalized Maximal Closed Sets in Topological Space
... Proof: Let V be g-ma closed set. By Definition 2.1 cl(V) ⊆ U. Whenever V ⊆ U &U is maximal open set. We know that every maximal open set is open. This implies U is an open set. Therefore cl(V) ⊆ U, whenever V ... See full document
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