Results 41 to 50 of about 1,462,947 (135)
Metrizability of $b$-metric space and $θ$-metric space via Chittenden's metrization theorem
, 2019 In [An, V.T., Tuyen, Q.L., Dung, V.N., Stone-type theorem on $b$-metric spaces and applications, Topology Appl. 185-186 (2015) 50-64], Tran Van An et al. provide a sufficient condition for $b$-metric space to be metrizable. They proved the metrizability by assuming that the distance function is continuous in one variable.
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Topology and its Applications, 2021 This work is devoted to the metrization of probabilistic spaces. More precisely, given such a space $(G,D,\star)$ and provided that the triangle function $\star$ is continuous, we exhibit an explicit and canonical metric $\sigma_D$ on $G$ such that the associated topology is homeomorphic to the so-called strong topology.
Bachir, Mohammed, Bruno, Nazaret
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The quasi‐redirecting boundary
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We generalize the notion of Gromov boundary to a larger class of metric spaces beyond Gromov hyperbolic spaces. Points in this boundary are classes of quasi‐geodesic rays and the space is equipped with a topology that is naturally invariant under quasi‐isometries.
Yulan Qing, Kasra Rafi
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Reordering buffers for general metric spaces [PDF]
, 2010 In the reordering buffer problem, we are given an input sequence of requests for service each of which corresponds to a point in a metric space. The cost of serving the requests heavily depends on the processing order.
Matthias Englert +6 more
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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On Metrizability of Topological Spaces
, 1968 Our present work is divided into three sections. In §2 we study the metrizability of spaces with a Gδ-diagonal (see Definition 2.1). In §3 we study the metrization of topological spaces by means of collections of (not necessarily continuous) real-valued ...
Carlos J. R. Borges
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Exactness and the topology of the space of invariant random equivalence relations
Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.Abstract We characterize exactness of a countable group Γ$\Gamma$ in terms of invariant random equivalence relations (IREs) on Γ$\Gamma$. Specifically, we show that Γ$\Gamma$ is exact if and only if every weak limit of finite IREs is an amenable IRE.
Héctor Jardón‐Sánchez +3 more
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Correction to “Can intergenerational equity be operationalized?”
Theoretical Economics, Volume 21, Issue 2, Page 325-328, May 2026.We show with a counterexample that Theorem 1 of “Can intergenerational equity be operationalized?” is wrong. The problem with Theorem 1 does not affect the remaining results of the paper, which form its core.
Michael Greinecker, Michael Nielsen
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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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Quasibounded solutions to the complex Monge–Ampère equation
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We study the Dirichlet problem for the complex Monge–Ampère operator on B‐regular domains in Cn$\mathbb {C}^n$, allowing boundary data that is singular or unbounded. We extend the concept of pluri‐quasibounded functions on the domain to functions on the boundary, defined by the existence of plurisuperharmonic majorants that dominate their ...
Mårten Nilsson
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