Results 51 to 60 of about 2,708 (144)
Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
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On the Borel complexity and the complete metrizability of spaces of metrics
Analysis and Geometry in Metric SpacesGiven a metrizable space XX, let AM(X)AM\left(X) be the space of continuous bounded admissible metrics on XX, which is endowed with the sup-metric. In this article, we shall investigate the Borel complexity and the complete metrizability of AM(X)AM\left ...
Koshino Katsuhisa
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The Entropy of Co-Compact Open Covers
Entropy, 2013 Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space (compactness and metrizability are not necessarily required).
Steven Bourquin +4 more
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Metrizable quotients of C-spaces [PDF]
Topology and its Applications, 2018 The famous Rosenthal-Lacey theorem asserts that for each infinite compact set $K$ the Banach space $C(K)$ admits a quotient which is either a copy of $c$ or $\ell_{2}$. What is the case when the uniform topology of $C(K)$ is replaced by the pointwise topology?
Taras Banakh +2 more
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Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities
Mathematical Finance, Volume 36, Issue 1, Page 99-117, January 2026.ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
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On the metrizability of suprametric space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe question of metrizability of suprametric space is answered positively. The observed metric coincides with a suprametric in a way that convergence and continuity are preserved between suprametric space and associated metric space along with the ...
Karapınar Erdal, Cvetković Marija
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Upper Comonotonicity and Risk Aggregation Under Dependence Uncertainty
Mathematical Finance, Volume 36, Issue 1, Page 118-139, January 2026.ABSTRACT In this paper, we study dependence uncertainty and the resulting effects on tail risk measures, which play a fundamental role in modern risk management. We introduce the notion of a regular dependence measure, defined on multimarginal couplings, as a generalization of well‐known correlation statistics such as the Pearson correlation. The first
Corrado De Vecchi +2 more
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Only 3-generalized metric spaces have a compatible symmetric topology
Open Mathematics, 2015 We prove that every 3-generalized metric space is metrizable. We also show that for any ʋ with ʋ ≥ 4, not every ʋ-generalized metric space has a compatible symmetric topology.
Suzuki Tomonari +2 more
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A note on the quasi‐local algebra of expander graphs
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the quasi‐local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to ℓ∞$\ell _\infty$. Ozawa has recently shown that these algebras are distinct from the uniform Roe algebras of expander graphs, and our result describes a further difference.
Bruno M. Braga +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.
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