open sets
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 ...semi-pre open sets ( open sets) in ...
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Some results on maximal open sets
... minimal open sets and maximal open sets in topological spaces are introduced and considered by ...minimal open sets and proved that any subset of a minimal open set is ...
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Some applications of minimal open sets
... minimal open sets in topological ...minimal open set is ...minimal open sets, we obtain a sufficient condition for a locally finite space to be a pre- Hausdorff ...
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Connectedness Via Quasi I-Open Sets
... Proof.(1)⇒(2): Suppose that X is quasi I-connected and if X can be expressed as the union of two nonempty disjoint sets A and B such that A and B are quasi I-open sets. Consequently A⊂X\B. Then ...
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On Minimal and Maximal Regular Open Sets
... Abstract The purpose of this paper is to investigate the concepts of minimal and maximal regular open sets and their relations with minimal and maximal open sets. We study several properties ...
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A note on some applications of α open sets
... The object of this note is to introduce and study topological properties of α- derived, α-border, α-frontier, and α-exterior of a set using the concept of α-open sets. Moreover, we study some further ...
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η Open Sets in Topological Spaces
... of open sets in a topological space called η-open sets is defined and the inclusive relationship of this set with the other existing sets like semi open, pre-open, ...
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On Pre Generalized Pre Regular Weakly Open Sets and Pre Generalized Pre Regular Weakly Neighbourhoods in Topological Spaces
... Regular open sets then Regular semi open sets, Pre-open sets, gspr closed sets, gpr closed sets, gp closed sets,Rg closed sets, rgα-closed ...
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Properties of Pre-\gama-Open Sets and Mappings
... -open sets which are weaker than open ...-open sets and pre- -open maps in topological spaces are introduced by Ibrahim [3, 4] and also fuzzy generalized -closed sets are ...
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Some properties of maximal open sets
... nonempty open subset U of a topological space X is said to be a maximal open set if any open set which contains U is X or U ...minimal open sets. Although the definition of the maximal ...
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On Fuzzy e^*-Open Sets and Fuzzy (D,S)^*-Sets
... if A ∧ int(cl(V ))≠ ∅for each fuzzy open set V containing x. Set of all fuzzy -cluster points of A is called the fuzzy -closure of A and is denoted by -cl(A). The fuzzy - interior of A is the union of all fuzzy ...
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Some points on generalized open sets
... of sets in the topological space which are empty or contain a nonempty open ...of sets may be referred to as ...of open sets, implying that each open set in a topological space ...
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On Characterization of b-open sets in a topological spaces.
... The mathematical papers [1]&[2] introduce and investigate semi-pre-open sets and b-open sets which are some of the weak forms of open sets and the complements of these sets are ob[r] ...
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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 ...generalized open sets in a ...
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On Semi-open Sets with Respect to an Ideal
... semi-open sets with respect to an ideal I , and also study some of their ...semi-open sets with respect to a given ideal I generalizes both the usual notion of semi-openness [11] and the ...
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On Standard Concepts Using ii Open Sets
... Following Caldas in [1] we introduce and study topological properties of ii -derived, ii -border, ii -frontier, and ii -exterior of a set using the concept of ii -open sets. Moreover, we prove some further ...
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On (Rw)*-Open Sets in Topological Spaces
... the Sets, let set {b, c} is (rw)*-open sets , not gprw- open sets, not R*- open sets, not rw-open set, not rg - open sets & not wgrα- open ...
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Minimal and Maximal Soft Open Sets
... On the other hand, the notation of maximal open sets and minimal open sets were introduced by F. Nakaoka and N. Oda in [3] and [4] . Many generalizations of these concepts have been introduced ...
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Bc Open Sets in Topological Spaces
... and by Proposition 2.5 the union of any family of Bc-open sets is Bc-open. To complete the proof it is enough to show that the finite intersection of Bc-open sets is Bc-open ...
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Some Applications of αψ P Open Sets
... In this paper, we introduce the notion of αψ-p-open sets and αψ-p-continuity in topological spaces. By utilizing these notions we introduce some weak separation axioms. Also we show that some basic ...
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