Results 61 to 70 of about 16,588 (195)
T_0 functional Alexandroff topologies are partial metrizable
Applied General TopologyIf f : X → X is a function, the associated functional Alexandroff topology on X is the topology whose closed sets are { A ⊆ X : f ( A ) ⊆ A } . We prove that every functional Alexandroff topology is pseudopartial metrizable and every T0 functional ...
Homeira Pajoohesh
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Bayesian games with nested information
Theoretical Economics, Volume 21, Issue 1, Page 204-240, January 2026.A Bayesian game is said to have nested information if the players are ordered and each player knows the types of all players that follow her in that order. We prove that all multiplayer Bayesian games with finite action spaces, bounded payoffs, Polish type spaces, and nested information admit a Bayesian equilibrium.
Royi Jacobovic +2 more
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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.
openaire +2 more sources
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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Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
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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 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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Average‐Case Matrix Discrepancy: Satisfiability Bounds
Random Structures &Algorithms, Volume 67, Issue 3, October 2025.ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
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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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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
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