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The Space of Metrics on a Compact Metrizable Space
American Journal of Mathematics, 1944Not ...
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Metric Spaces and a Metrization Theorem
1979A distance function p in a set X is a nonnegative real-valued function defined for each pair of points x, y ∊ X and satisfying: (i) ρ(x, y) = 0 if and only if x = y, (ii) ρ(x, y) = ρ(y, x), (iii) ρ(x, z) < ρ(x, y) + ρ(y, z) (triangle inequality).
Gordon Whyburn, Edwin Duda
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On the metrization problem of $$\nu $$ ν -generalized metric spaces
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dung, Nguyen Van, Hang, Vo Thi Le
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Metrization of Additive κ-Metric Spaces
Proceedings of the American Mathematical Society, 1987We prove that an additive \(\kappa\)-metric space X is metrizable if X is one of the following: (1) X is pseudocompact, (2) X is a wM-space, (3) X is a paracompact \(\beta\)-space, especially stratifiable.
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The metrization of rectangular b-metric spaces
Topology and its Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Borel complexity and the complete metrizability of spaces of metrics
Analysis and Geometry in Metric SpacesAbstract Given a metrizable space X X , let A
Katsuhisa Koshino
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Some metrization problem on $$\nu $$-generalized metric spaces
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018Recently, \textit{N. Van Dung} and \textit{V. T. Le Hang} [Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 4, 1295--1303 (2018; Zbl 1403.54020)] proved the following theorem: Let \((X, d)\) be a \(\nu\)-generalized metric space. Assume that every convergent sequence is Cauchy. Define a function \(\rho\) from \(X\times X\) into \([0,
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Review on Topological Cone Metric Spaces and Their Metrizability
The Scholar Journal for Sciences & TechnologyThis survey study aims to compile the most recent works on cone metric spaces in a single location. This list may be beneficial for emerging scholars engaged in the domain of functional and nonlinear analysis. The Metrizability and topological characteristics of cone metric spaces are the primary focus of this investigation.
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On Sprays of Scalar Curvature and Metrizability
Journal of Geometric Analysis, 2023Guojun Yang
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Some remarks on the metrizability of F\mathcal {F}-metric spaces
Journal of Fixed Point Theory and Applications, 2020Lakshmi Kanta Dey
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