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Weaker forms of the Menger property in bitopological spaces
Quaestiones Mathematicae, 2018In this paper we continue previous investigations on the weaker forms of the Menger property in bitopological spaces. We introduce weakly Menger property and study some topological properties of almost and weakly Menger bitopological spaces. We also consider the almost Hurewicz spaces in a bitopological context. Mathematics Subject Classication (2010):
A. Emre Eysen, Selma Özçağ
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Relative versions of star-Menger property
Mathematica SlovacaAbstract Motivated by Bonanzinga and Maesano (2022), we introduce and study the new relative versions of star-Menger property related to some properties studied lately by Kočinac et al. (2022) and Bonanzinga et al. (2023). In this paper, we provide some examples to understand their relationships with other relativizations of star ...
Mittal, Sumit +2 more
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Menger Fractal Acoustic Metamaterials with Double-Negative Property
2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials), 2019We construct new three-dimensional fractal acoustic metamaterials by adopting Menger structure, which have the double-negative property with a single structure. By adopting the finite element method and S-parameter retrieval method, the effective parameters of the acoustic metamaterials with different fractal orders are researched separately.
Heng Jiang, Yuren Wang
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Consonant spaces of countable type and the Menger property
Topology and Its ApplicationsIf a topological space \(X\) is consonant and either of weak closed countable type or regular and of countable type then \(X\) has property P which in turn is equivalent to the Menger property at infinity provided that \(X\) is completely regular. The product of countably many spaces having property P also has property P.
Francis Jordan
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Set-Menger and related properties
Topology and its Applications, 2020Let \(\mathcal P\) be a collection of subsets of a space \(X\) and say that \(X\) is \(\mathcal P\)-Menger (resp. weakly \(\mathcal P\)-Menger, almost \(\mathcal P\)-Menger) if for each \(A\in\mathcal P\) and each sequence \(\langle\mathcal U_n\rangle\) of families of open subsets such that \(\overline{A}\subset\cup\mathcal U_n\) for each \(n\) there ...
Kočinac, Ljubiša D. R. +1 more
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The Menger property and l-equivalence
Topology and its Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Almost Menger Property in Bitopological Spaces
Ukrainian Mathematical Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özçağ, S., Eysen, A. E.
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The Menger property for infinite ordered sets
Order, 1988For the definitions of cutset, disjoint family and Menger family as well as a statement of Menger's theorem see the review above (Zbl 0678.06001). In this paper it is shown that if an ordered set P contains at most k pairwise disjoint maximal chains, where k is finite, then every finite family of maximal chains in P has a cutset of size at most k. This
Aharoni, R., Brochet, J.-M., Pouzet, M.
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Remarks on set-Menger and related properties
Topology and its Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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