Results 71 to 80 of about 151,084 (121)

ℐ-sn-metrizable spaces and the images of semi-metric spaces

Open Mathematics
Abstract The theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and mappings in topological spaces. We define
Zhou, Xiangeng, Liu, Fang, Liu, Li, Lin, Shou   +3 more
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Complete positivity and distance-avoiding sets. [PDF]

Math Program, 2022
DeCorte E, Filho FMO, Vallentin F.
europepmc   +1 more source

Metrizability and pattern recognition [PDF]

Metrizability and pattern ...
Duran, P.
core   +1 more source

The metrization of statistical metric spaces [PDF]

Pacific Journal of Mathematics, 1960
Schweizer, B., Sklar, A., Thorp, E.
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A short proof of the metrizability of $\mathcal{F}$-metric spaces

, 2019
The main purpose of this manuscript is to provide a short proof of the metrizability of $\mathcal{F}$-metric spaces introduced by Jleli and Samet in \cite[\, Jleli, M. and Samet, B., On a new generalization of metric spaces, J. Fixed Point Theory Appl. (2018) 20:128]{JS1}.
Som, Sumit, Dey, Lakshmi Kanta
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A new generalization on metric space and its metrizability.

JOURNAL OF ADVANCES IN MATHEMATICS
In this paper, our particular scope is to give a new generalization for the metric function and after that a proof of the metrizability of generalized φ-metric space. This new approach is influenced by the Chittenden’s metrization theorem.
Stela Çeno, Ledia Subashi
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The topological type of spaces consisting of certain metrics on locally compact metrizable spaces with the compact-open topology

, 2022
For a separable locally compact but not compact metrizable space $X$, let $ X = X \cup \{x_\infty\}$ be the one-point compactification with the point at infinity $x_\infty$. We denote by $EM(X)$ the space consisting of admissible metrics on $X$, which can be extended to an admissible metric on $ X$, endowed with the compact-open topology.
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Metrizability of $b$-metric space and $\theta$-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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Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem

, 2019
arXiv admin note: text overlap with arXiv:1904 ...
Bruno, Nazaret, Bachir, Mohammed, Nazaret, Bruno   +2 more
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Towards Measurable Types for Dynamical Process Modeling Languages. [PDF]

Electron Notes Theor Comput Sci, 2010
Mjolsness E.
europepmc   +1 more source