Results 51 to 60 of about 307 (168)
One more metrization theorem [PDF]
Proceedings of the American Mathematical Society, 1976 We give here a metrization theorem proved via the method of symmetrics. From our theorem follow the theorem of Stone-Arhangel’skiĭ and one in terms of a countable strongly refining sequence of open coverings.
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Deformations of Anosov subgroups: Limit cones and growth indicators
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
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Graphical models for topological groups: A case study on countable Stone spaces
Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2311-2335, August 2025.Abstract By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley–Abels graph of a totally disconnected, locally compact group, we detail countable connected graphs associated to Polish groups that we term Cayley–Abels–Rosendal graphs.
Beth Branman +3 more
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ℐ-sn-metrizable spaces and the images of semi-metric spaces
Open MathematicsThe theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and ...
Zhou Xiangeng +3 more
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On approximation of mappings with values in the space of continuous functions
Karpatsʹkì Matematičnì Publìkacìï, 2013 Using a theorem on the approximation of the identity in the Banach space $C_u(Y)$ of all continuous functions $g:Y\rightarrow \mathbb{R}$, defined on a metrizable compact $Y$ with the uniform norm, we prove that for a topological space $X$, a ...
H. A. Voloshyn +2 more
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 7, July 2025.Abstract We formulate the problem of material identification as a problem of optimal control in which the deformation of the specimen is the state variable and the unknown material law is the control variable. We assume that the material obeys finite elasticity and that the deformation of the specimen is in static equilibrium with prescribed boundary ...
Sergio Conti, Michael Ortiz
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On strongly reflexive topological groups
Applied General Topology, 2001 An Abelian topological group G is strongly reflexive if every closed subgroup and every Hausdorff quotient of G and of its dual group G⋀, is reflexive. In this paper we prove the following: the annihilator of a closed subgroup of an almost metrizable ...
M. J. Chasco, E. Martin-Peinador
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A metrizable Lawson semitopological semilattice with non-closed partial order
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 We construct a metrizable Lawson semitopological semilattice $X$ whose partial order $\le_X\,=\{(x,y)\in X\times X:xy=x\}$ is not closed in $X\times X$. This resolves a problem posed earlier by the authors.
Taras Banakh +2 more
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$\omega$-Jointly Metrizable Spaces [PDF]
Missouri Journal of Mathematical Sciences, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2022 We study supervised learning problems that have significant effects on individuals from two demographic groups, and we seek predictors that are fair with respect to a group fairness criterion such as statistical parity (SP). A predictor is SP-fair if the distributions of predictions within the two groups are close in Kolmogorov distance, and fairness ...
Rychener, Yves +2 more
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