Results 11 to 20 of about 177,831 (292)
Some Maximal Elements' Theorems in FC-Spaces
Journal of Inequalities and Applications, 2009 Let I be a finite or infinite index set, let X be a topological space, and let (Yi,φNi)i∈I be a family of FC-spaces. For each i∈I, let Ai:X→2Yi be a set-valued mapping. Some new existence theorems of maximal elements for a set-
Rong-Hua He, Yong Zhang
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The existence of maximal elements: generalized lexicographic relations [PDF]
Journal of Mathematical Economics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hougaard, Jens Leth, Tvede, Mich
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The space of maximal elements in a compact domain
Electronic Notes in Theoretical Computer Science, 2001 AbstractIn this paper we try to improve the current state of understanding concerning models of spaces with Scott domains. The main result given is that any developable space which has a model by a Scott domain must be Čech-complete. An important consequence is that any metric space homeomorphic to the maximal elements of a Scott domain must be ...
Martin, Keye
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Upper Semicontinuous Representability of Maximal Elements for Nontransitive Preferences [PDF]
Journal of Optimization Theory and Applications, 2019 It is known that for every maximal element relative to a preorder on any nonempty set, White's Theorem, see [\textit{D. J. White}, Eur. J. Oper. Res. 4, 426--427 (1980; Zbl 0437.90006)] guarantees the existence of an order-preserving function attaining its maximum precisely at that maximal element.
Magalì Zuanon, Gianni Bosi
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Maximal Overgroups of Singer Elements in Classical Groups
Journal of Algebra, 2000 A Singer element in a finite classical group is an irreducible element of maximal order. They exist just for the linear groups, symplectic groups, orthogonal groups of minus type, and unitary groups in odd dimension. The paper under review gives an explicit list of all maximal subgroups containing Singer elements in the finite classical groups.
Bereczky, Áron
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Countable networks on Malykhin's maximal topological group
Applied General Topology, 2023 We present a solution to the following problem: Does every countable and non-discrete topological (Abelian) group have a countable network with infinite elements?
Edgar Márquez
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On the Existence of Greatest Elements and Maximizers
Journal of Optimization Theory and Applications, 2022 AbstractWe obtain several characterizations of the existence of greatest elements of a total preorder. The characterizations pertain to the existence of unconstrained greatest elements of a total preorder and to the existence of constrained greatest elements of a total preorder on every nonempty compact subset of its ground set.
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Finite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗
Journal of Mathematics, 2022 Let G be a finite group. We know that the order of G and the number of elements of maximal order in G are closely related to the structure of G. This topic involves Thompson’s conjecture.
Qingliang Zhang, Liang Xu
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Journal of Mathematics, 2022 Assume that G is a finite group. It is widely known that G and the number of elements of maximal order in G have something to do with the structure of G. This subject is related to Thompson’s conjecture.
Qingliang Zhang
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Existence of maximal elements of semicontinuous preorders [PDF]
International Journal of Mathematical Analysis, 2013 We discuss the existence of an upper semicontinuous multi-utility representation of a preorder on a topological space. We then prove that every weakly upper semicontinuous preorder is extended by an upper semicontinuous preorder and use this fact in order to show that every weakly upper semicontinuous preorder on a compact topological space admits a ...
BOSI, GIANNI, Zuanon M.
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