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[PDF] Top 20 Generalized Maximal Closed Sets in Topological Space

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Generalized Maximal Closed Sets in Topological Space

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) ⊆ ... See full document

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On #Regular Generalized Open Sets In Topological Space

On #Regular Generalized Open Sets In Topological Space

... open sets and rw-open sets have been introduced and investigated by Stone[16] and Benchalli and Wali[1] ...open sets, generalized closed sets, regular semi open sets, ... See full document

5

Soft B - Generalized Closed Sets and Soft - Generalized Open Sets in Soft Topological Spaces

Soft B - Generalized Closed Sets and Soft - Generalized Open Sets in Soft Topological Spaces

... soft sets called Soft  ˆ - generalized closed sets and Soft  ˆ - generalized open sets in Soft Topological spaces are introduced and ...soft sets are ... See full document

6

δ ̂ω Closed Sets in Ideal Topological Space

δ ̂ω Closed Sets in Ideal Topological Space

... weakly generalized closed set in the space ...of closed set , if σcl(A)⊆ U , whenever A ⊆ U and U is open in X ...weakly generalized closed set belongs to U and the arbitrary ... See full document

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Supra*g-Closed Sets in Supra Topological Spaces

Supra*g-Closed Sets in Supra Topological Spaces

... of generalized closed sets have been introduced over the ...the closed set is called supra*g-closed in supra topological spaces and investigate some of the basic properties ... See full document

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Fine GS Closed Sets and Fine SG Closed Sets in Fine Topological Space

Fine GS Closed Sets and Fine SG Closed Sets in Fine Topological Space

... of generalized closed sets have been introduced over the ...gs closed sets and Fine sg closed sets in fine topological spaces and investigate some of the basic ... See full document

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Minimal closed sets and maximal closed sets

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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On Fuzzy Generalized Closed Sets in Fuzzy Topological Spaces

On Fuzzy Generalized Closed Sets in Fuzzy Topological Spaces

... fuzzy topological space using the concept of fuzzy sets was introduced by ...fuzzy generalized closed ...fuzzy closed set called fuzzy 𝛾* generalized closed set and ... See full document

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On αsg closed sets in Topological spaces

On αsg closed sets in Topological spaces

... s-open) sets in a topological spaces was initi- ated by ...he generalized the concept of closed sets to generalized closed(briefly g-closed) sets[8] in ... See full document

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More On λκ−closed sets in generalized topological spaces

More On λκ−closed sets in generalized topological spaces

... for generalized topologies have been studied by the same author in [1, 2, 3, 4, 5, ...that generalized topology in the sense of Cs´asz´ar [1] is a generalization of topology on a nonempty ...of sets ... See full document

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Generalized star semi regular closed sets in topological spaces

Generalized star semi regular closed sets in topological spaces

... Throughout this paper (X, τ ) and (Y, σ) represent nonempty topological spaces are mentioned. For a subset A of a space (X, τ ) cl A and int A denote the closure of A and the interior of A respectively. (X, ... See full document

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ψ * g * - Closed Sets in Topological Spaces

ψ * g * - Closed Sets in Topological Spaces

... of generalized closed sets denoted by g-closed sets in topological spaces and studied their basic ...-closed sets in topological ...-closed ... See full document

5

Behavior of open sets in bi-Alexandroff topological space

Behavior of open sets in bi-Alexandroff topological space

... Alexandroff topological space was a consequence of the important role of finite spaces in digital topology and therefore the undeniable fact that these spaces have all proper- ties of finite spaces [7], ... See full document

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Another Theta Generalized Closed Sets in Fuzzy Topological Spaces

Another Theta Generalized Closed Sets in Fuzzy Topological Spaces

... Example 3.13. Let X = { , } a b Consider the Fuzzy topology τ as in Example 3.4 where E is defined by E (a) = 0.6 , E(b)=0.6 . Clearly E is fuzzy semi- θ - closed but it is not fuzzy θ g‴-closed and D is ... See full document

9

Fuzzy τ* Generalized Closed Sets in Fuzzy Topological Spaces

Fuzzy τ* Generalized Closed Sets in Fuzzy Topological Spaces

... [5]. G. Balasubramanian and V. Chandrasekar, Totally fuzzy semi continuous functions, Bull. Calcutta Math. Soc. 92(4) (2000), 305–312. [6]. K. K. Azad, On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly ... See full document

5

On Soft Semi Weakly Generalized Closed Set in Soft TopologicalSpaces

On Soft Semi Weakly Generalized Closed Set in Soft TopologicalSpaces

... soft topological space in the basis of soft semi weakly generalized closed ...soft sets overF A was stuided by Shabir M and Naz M, [7] and ... See full document

5

Properties of g*-closed sets in topological spaces

Properties of g*-closed sets in topological spaces

... axioms are assumed unless explicitly stated. Let A be a subset of space X. We denote the closure of A and the interior of A by Cl(A) and Int(A) respectively. A subset A of a space X is called regular open ... See full document

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Generalized closed sets via neutrosophic topological spaces

Generalized closed sets via neutrosophic topological spaces

... 1. Neutrosophic semi-open set (NSOS) if A ⊆ NCl(NInt(A)). 2. Neutrosophic pre-open set (NPOS) if A ⊆ NInt(NCl(A)). 3. Neutrosophic α-open set (Nα OS) if A ⊆ NInt(NCl(NInt(A))). 4. Neutrosophic β -open set (Nβ OS) if A ⊆ ... See full document

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Infra Generalized b-Closed Sets in Infra Topological Space

Infra Generalized b-Closed Sets in Infra Topological Space

... infra generalized closed sets such as, infra generalized semi- closed set, infra semi generalized-closed set, infra generalized pre- closed set, infra ... See full document

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On generalized $\alpha$ regular-interior and generalized $\alpha$ regular-closure in Topological Spaces

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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