Results 41 to 50 of about 140 (137)
Metrization of Weighted Graphs [PDF]
7 ...
Vuorinen Matti +2 more
openaire +2 more sources
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
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$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Exactness and the topology of the space of invariant random equivalence relations
Abstract We characterize exactness of a countable group Γ$\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
wiley +1 more source
On the Borel complexity and the complete metrizability of spaces of metrics
Given 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
doaj +1 more source
$π$-metrizable spaces and strongly $π$-metrizable spaces
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Lin, Fucai, Lin, Shou
openaire +2 more sources
Correction to “Can intergenerational equity be operationalized?”
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
wiley +1 more source
Only 3-generalized metric spaces have a compatible symmetric topology
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
doaj +1 more source
The Entropy of Co-Compact Open Covers
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
doaj +1 more source
Quasibounded solutions to the complex Monge–Ampère equation
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
wiley +1 more source
On the metrizability of suprametric space
The 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
doaj +1 more source

