[PDF] Top 20 Rho-closed Sets in Topological Spaces
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Rho-closed Sets in Topological Spaces
... Proof. Let F ⊆ P cl(A) − A be a nonempty closed set. Then F ⊆ P cl(A ) and A ⊆ X − F. Since X − F is ˜ g-open, then A is ρ-closed. Therefore P cl(A) ⊆ I nt(X − F) = X − cl(F ), C l(F ) ⊆ X − P cl(A). And so ... See full document
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On Nano Regular Generalized and Nano Generalized Regular Closed Sets in Nano Topological Spaces
... GENERALIZED CLOSED SETS AND NANO GENRALIZED REGULAR CLOSED SETS In this section, we introduce Nano regular generalized closed set and Nano generalized regular closed set and ... See full document
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Some New Regular Generalized Closed Sets in Ideal Topological Spaces
... ideal topological spaces (X , τ, I ) is said to be a τ ∗ -closed [3], if A ∗ ⊂ A ...ideal topological spaces ( X , τ , I ) is said to be a I-open [ 4 ] , if A ⊂ int ( A ∗ ) ...ideal ... See full document
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On $\theta g*$-Closed Sets in Topological Spaces
... - closed in X. Since every θ g * - closed set is rg- closed (gpr-closed,gs- closed,gp-closed, π g-closed, π gs-closed, π g β -closed), f − 1 (V) is ... See full document
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r*g*-Closed Sets in Topological Spaces
... generalized closed sets in topology. b- open sets have been introduced and investigated by ...g* closed sets and studied its ...r*g* closed sets and investigate some ... See full document
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Weakly *g Closed Sets in Topological Spaces
... 4. A semi-preopen set (=β-open) if A ⊂ cl (int (cl (A))) and a semi-preclosed set (=β- closed) if int (cl (int A)) ⊂ A. The semi-closure (respectively pre-closure, α-closure, semi-preclosure) of a preclosed) ... See full document
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On p#g closed sets in Topological spaces
... pre- closed (resp.semi-closed, ...α-closed) sets containing A is called the pre-closure ...α-open) sets contained in A is called the ...α-open) sets is denoted by P ... See full document
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ON b*g^ CLOSED SETS IN TOPOLOGICAL SPACES
... Proof: Suppose A is a b*g^-closed set. Let F be a g^-closed set contained in b*cl(A)-A. Now, F c is a g^-open set of X such that A F c . Since, A is b*g^-closed set we have b*cl(A) F c . Hence F ... See full document
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\tau\alpha*-g\alpha Closed Sets in Topological Spaces
... generalized closed sets as a generalization of closed sets in topological ...generalized closed sets, Dunham [5] introduced the concept of the closure operator cl* and a ... See full document
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Strongly g*s –Closed Sets in Topological Spaces
... the topological spaces X=Y= {a,b,c} with topologies ={ ϕ,X,{a}} and σ ...g*s-closed sets is {ϕ, X,{b},{c},{b, ...a closed map. Since the closed set {b,c} in (X, ),f({b,c})={b,c} ... See full document
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πgγ* closed Sets in Intuitionistic Fuzzy Topological Spaces
... Definition 2.19: [9] An IFS A of an IFTS (X, τ) is an intuitionistic fuzzy generalized pre closed set (IFGPCS in short) if pcl(A) U whenever A U and U is an IFOS in X. The complement of IFGPCS is called an ... See full document
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Soft g-Closed Sets in Soft Topological Spaces
... i. a Semi Open set if A Cl(Int(A)) and a Semi Closed set if Int(Cl(A)) A. ii. a Pre Open set if A Int(Cl(A)) and a Pre Closed set if Cl(Int(A)) A. iii. an -open set if A Int(Cl(Int(A))) and an ... See full document
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VSGb Closed Sets in Vague Topological Spaces
... fuzzy sets was introduced by Zadeh [11] in ...fuzzy sets and fuzzy ...fuzzy sets was introduced by Atanassov [2] as a generalization of fuzzy ... See full document
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Properties of g*sp-Closed Sets in Topological Spaces
... Proof . (i) Let F be a g-closed set contained in spCl(A) –A , then spCl(A) X – F since X – F is g-open with A X-F and A is g*sp-closed set. Then, F (X-spCl(A)) (spCl(A)-A) (X-spCl(A) ) spCl(A) = ... See full document
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g- Closed sets in Intuitionistic Fuzzy Topological spaces
... fuzzy sets was introduced by Zadeh [9] and later Atanassov [1] generalized this idea to intuitionistic fuzzy sets using the notion of fuzzy ...fuzzy topological spaces using the notion of ... See full document
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Some Generalizations of Locally Closed Sets
... of sets in the topological space which is called λ-open ...semi-open sets [7] and α-sets [11] are examples of that type of sets although preopen sets [10] is not an example of ... See full document
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g- Closed Sets In Topological Spaces
... generalized closed sets called ψg ** -closed sets in topological spaces and investigate some of the basic ...- closed sets with already existing closed ...- ... See full document
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On αsg closed sets in Topological spaces
... s-open) sets in a topological spaces was initi- ated by ...of closed sets to generalized closed(briefly g-closed) sets[8] in ...of closed sets to ... See full document
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ON Πgb*-Closed Sets in Topological Spaces
... Let A be a gb*-closed set in (X, τ) and F int(bcl(A)) – A such that F is -closed in X. Then (X – F) is - open in X and A (X - F). Since A is gb*-closed, int(bcl(A)) (X - F) F (X - ... See full document
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SRW-Closed Sets in Soft Topological Spaces
... Semi Closed if Int(Cl(A) ⊆ ...Regular Closed if A = ...Weakly Closed (briefly W-Closed) ifCl(A) ⊆ U whenever A ⊆ U and U is semi open in ... See full document
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