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Sierpiński carpet-inspired hierarchical patterning of porous materials for sound absorption. [PDF]
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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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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 and l-equivalence
Topology and its Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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The PT-order, minimal cutsets and menger property
Order, 1989For a poset \({\mathcal P}=(P,\leq)\) the associated PT-order is the reflexive and transitive binary relation \(\trianglelefteq\) in which \(a\trianglelefteq b\) holds if every maximal chain of \({\mathcal P}\) which passes through a also passes through b.
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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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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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