[PDF] Top 20 Some results on maximal open sets
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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 ... See full document
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Minimal closed sets and maximal closed sets
... minimal open sets and maximal open sets are studied in [1, ...namely, maximal closed set and minimal closed ...imal open sets and maximal closed sets ... See full document
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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 ... See full document
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Generalized Maximal Closed Sets in Topological Space
... is maximal open set. We know that every maximal open set is ...an open set. Therefore cl(V) ⊆ U, whenever V ⊆ U &U is an open set ... See full document
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Vol 6, No 8 (2015)
... minimal open (resp.minimal closed) sets which are sub classes of open ...(resp.closed) sets. The complements of minimal open sets and maximal open sets are ... See full document
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Vol 2, No 10 (2011)
... closed sets in topological ...closed sets. Nakaoka and Oda have introduced minimal open sets and maximal open sets, which are subclasses of open ...of sets ... See full document
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On b#-Open Sets
... Throughout this paper X denotes a topological space on which no separation axiom is assumed. For any subset A of X, cl(A) denotes the closure of A and int(A) denotes the interior of A in the topological space X. Further ... See full document
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Vol 3, No 6 (2012)
... closed sets in topological ...closed sets. Nakaoka and Oda have introduced minimal open sets and maximal open sets, which are subclasses of open ...rgα-open ... See full document
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Small maximal sum free sets
... smallest maximal sum-free sets in arbitrary ...a maximal sum-free set of size k for small values of ...establish some general results; for example Proposition ...a maximal ... See full document
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A Unified Theory (I) for Neighborhood Systems and Basic Concepts on Fuzzifying Topological Spaces
... offer some definition and results which will be needed in this ...∆-open sets, C∆-open sets, ∆-closed sets and C∆-closed sets are introduced and some of ... See full document
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On a conjecture of Street and Whitehead on locally maximal product free sets
... locally maximal if whenever T is product-free and S ⊆ T , then S = T ...locally maximal product-free set in G fills ...obtain some results about filled groups in the non-abelian case, ... See full document
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Minimal and Maximal Soft Open Sets
... The phenomena of uncertainty can be emerged in many fields such as economy, social and medical sciences, engineering and so on. To deal with such uncertainties many mathematical tools have been introduced such as ... See full document
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Vol 3, No 3 (2012)
... closed sets in topological ...closed sets. Nakaoka and Oda have introduced minimal open sets and maximal open sets, which are subclasses of open ...rgα-open ... See full document
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On Minimal and Maximal Regular Open Sets
... Proof. Since A is min-g-closed, then there exists a minimal open set U such that Cl(A) ⊆ U. Since φ 6= A ⊆ U , By Theorem 1.5, Cl(A) = Cl(U ). If Cl(U ) = X, then X = Cl(A) ⊆ U 6= X which is a contradiction. So, U ... See full document
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On #Regular Generalized Open Sets In Topological Space
... Throughout this paper (X,) represents a topological space on which no separation axiom is assumed unless otherwise mentioned. For a subset A of a topological space X, cl(A) and int(A) denote the closure of A and the ... See full document
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Vol 3, No 12 (2012)
... a maximal b- γ -open set if any b- γ -open set which contains U is X or ...-open sets. Although the de finition of the maximal b- γ -open set is obtained by the de finition ... See full document
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Some Functions Concerning Neutrosophic Feebly Open & Closed Sets
... IJSRR, 8(2) April. – June., 2019 Page 1555 Definition 5.2. Let ( , )and ( , ) be two neutrosophic topological spaces. A function : → is said to be neutrosophic feebly open if the image of each neutrosophic ... See full document
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Results on Exhaustion Sets in Abelian Group
... 2003). However, the definition of exhaustion set can be more intelligibly described using the notion of group ring. Traditionally, the notion of group ring has been used to describe many combinatorial objects (Beth et ... 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 ...semi-pre open sets ( open sets) in ... See full document
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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] ... See full document
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