Results 11 to 20 of about 464 (130)
Selectively strongly star-Menger spaces and related properties
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021 Summary: A space \(X\) is selectively strongly star-Menger (briefly, selSSM) if for each sequence \((\mathscr{U}_n : n \in\mathbb{N})\) of open covers of \(X\) and each sequence \((D_n : n \in\mathbb{N})\) of dense subspaces of \(X\), there exists a sequence \((F_n : n \in\mathbb{N})\) of finite subsets \(F_n \subset D_n\), \(n\in\mathbb{N}\), such ...
Bonanzinga M., Maesano F.
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Some observations on the mildly Menger property and topological games
Filomat, 2022 In this paper, we defined two new games - the mildly Menger game and the compact-clopen game. In a zero-dimensional space, the Menger game is equivalent to the mildly Menger game and the compact-open game is equivalent to the compact-clopen game. An example is given for a space on which the mildly Menger game is undetermined.
Bhardwaj, M., Osipov, A. V.
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The Menger and projective Menger properties of function spaces with the set-open topology [PDF]
Mathematica Slovaca, 2019 Abstract For a Tychonoff space X and a family λ of subsets of X, we denote by C λ(X) the space of all real-valued continuous functions on X with the set-open topology. A Menger space is a topological space in which for every sequence of open covers 𝓤1, 𝓤2, … of the space there are finite sets 𝓕1 ⊂ 𝓤1, 𝓕2 ⊂
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A Coarse Geometric Approach to Graph Layout Problems
Journal of Graph Theory, EarlyView.ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang +3 more
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Journal of Graph Theory, EarlyView.ABSTRACT In this paper we define a degree for ends of infinite digraphs. The well‐definedness of our definition in particular resolves a problem by Zuther. Furthermore, we extend our notion of end degree to also respect, among others, the vertices dominating the end, which we denote as combined end degree.
Matthias Hamann, Karl Heuer
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Erratum to " Almost Menger property in bitopological spaces"
, 2022 In this paper, theorem 3.2 and theorem 4.1 of Özçağ and Eysen [S. Özçağ and A.E. Eysen, Almost Menger property in bitopological spaces, Ukrainian Math. J., {\bf 68}, No 6, 950-958 (2016)] are proven to be incorrect. An example is provided to disprove them and thus, correct versions of the theorems are restated.
Acharjee, Santanu, Goswami, Kabindra
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Journal of Surfactants and Detergents, EarlyView.ABSTRACT The critical micelle concentration (CMC) values of the cationic gemini surfactant pentadiyl‐α,ω‐bis(dimethyldodecylammonium) bromide depend on the hydrophobicity of added conjugated organic carboxylate anions. Nine conjugated counterions, present as sodium salts of organic acids, were studied to expand the correlation to the counterion ...
Alexia Rios +4 more
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The menger-like property of the tree-width of infinite graphs
Journal of Combinatorial Theory, Series B, 1991 The tree-width of a (possibly infinite) graph G is the minimum n such that G may be decomposed into a ``tree-structure'' of pieces each with at most \(n+1\) vertices. We prove that if G has tree-width n, then G can be decomposed in such a way that for every \(k\geq 0\) and any two pieces P and Q of this ``tree-structure'' either there are k disjoint ...
Igor Kríz, Robin Thomas 0001
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The Journal of Pathology, EarlyView.Abstract Recently, we suggested the combination of chemotherapy and P2RX4 inhibition as a promising novel therapeutic approach for P2RX4‐expressing epithelial tumors to prevent paracrine resistance. Here, we aimed to assess whether determining P2RX4 expression status in colorectal and pancreatic cancer patients would allow stratification of potentially
Christoph Steup +12 more
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