Results 41 to 50 of about 216 (129)
Quotients of Metric Spaces [PDF]
, 1968 The question of when a given property of a topological space is preserved under mappings is one of the most familiar problems of general topology. Among the properties of greatest interest for general spaces is, without doubt, that of metrizability ...
Herman, Robert A.
core
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
wiley +1 more source
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
wiley +1 more source
, 1984 K. Kunugi introduced the notion of ranked space as a generalization of that of metric spaces, (see [6]). In this note we define a metrizability of ranked spaces and study conditions under which a ranked space is metrizable.
Fumie Ishikawa
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Continuity of additive 𝜅-metric functions and metrization of 𝜅-metric spaces [PDF]
Proceedings of the American Mathematical Society, 1988 For an additive κ \kappa -metric space
openaire +1 more source
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
wiley +1 more source
Cellular structures in Topology [PDF]
, 1990 This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini +4 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag +5 more
wiley +1 more source
Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces
Journal of Nonlinear Analysis and Application, 2012 In this paper we show that by renorming an ordered Banach space, every cone $P$ can be converted to a normal cone with constant $K=1$ and consequently due to this approach every cone metric space is really a metric one and every theorem in metric space is valid for cone metric space automatically.
Mehdi Asadi +3 more
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Taut Foliations and ℝ‐Covered Foliations With Transverse Measure on 3‐Manifolds
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we establish a theorem that provides sufficient conditions for a taut foliation on closed 3‐manifolds to be, up to monotone equivalence, a perturbation of a fibration. We also give some conditions under which a taut foliation is ℝ‐covered.
Hamidou Dathe +3 more
wiley +1 more source