Results 101 to 110 of about 151,084 (121)

A characterisation of probabilistic metrizability for approach spaces

Topology and its Applications
Characterisations of metrizable topological spaces or metrizable uniform spaces are well known. A natural counterpart to being metrizable for topological spaces can be expressed in terms of probabilistic metrizability for approach spaces. The notion of a
E. Colebunders, R. Lowen
semanticscholar   +1 more source

On the metrization problem of $$\nu $$ ν -generalized metric spaces

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
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Dung, Nguyen Van, Hang, Vo Thi Le
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The metrization of rectangular b-metric spaces

Topology and its Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Metric Spaces and a Metrization Theorem

1979
A 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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Metrizability of $b$-metric space and $��$-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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Some metrization problem on $$\nu $$-generalized metric spaces

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
Recently, \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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The Space of Metrics on a Compact Metrizable Space

American Journal of Mathematics, 1944
Not ...
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Metrizability of partial metric spaces

Topology and Its Applications, 2022
Volodymyr Mykhaylyuk
exaly  

On Sprays of Scalar Curvature and Metrizability

Journal of Geometric Analysis, 2023
Guojun Yang
exaly  

Optimal metrics on metrizable spaces

Archiv der Mathematik, 1971
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