Results 1 to 10 of about 71 (68)
On the Non Metrizability of Berwald Finsler Spacetimes
Universe, 2020 We investigate whether Szabo’s metrizability theorem can be extended to Finsler spaces of indefinite signature. For smooth, positive definite Finsler metrics, this important theorem states that, if the metric is of Berwald type (i.e., its Chern–Rund ...
Nicoleta Voicu +2 more
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Some new results on $\star$-metric spaces
Journal of New Results in Science, 2023 The concept of $\star$-metric, based on the relaxation of triangle inequality of metric axioms by using a t-definer, was introduced by Khatami and Mirzavaziri.
Tarapada Bag, Abhishikta Das
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Systematic Assessment of Product Quality
Journal of Open Innovation: Technology, Market and Complexity, 2021 The article describes an innovative metrizable idea for systemic assessments of product quality within the baking industry. Complex product quality analysis requires the employment of metrizability criteria for factors that impact the quality of the ...
Radoslaw Drozd, Radoslaw Wolniak
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Geometrical properties of the space of idempotent probability measures
Applied General Topology, 2021 Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
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Concerning nearly metrizable spaces
Applied General Topology, 2013 The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability.
M. N. Mukherjee, Dhananjoy Mandal
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Near metrizability via a new approach
Applied General Topology, 2014 The present article deals with near metrizability, initiated in an earlier paper, with a new orientation and approach. The notions of nearly regular and uniform pseudo-bases are introduced and analogues of some results concerning metrizability and ...
Dhananjoy Mandal, M. N. Mukherjee
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Asymptotic structures of cardinals
Applied General Topology, 2014 A ballean is a set X endowed with some family F of its subsets, called the balls, in such a way that (X,F) can be considered as an asymptotic counterpart of a uniform topological space.
Oleksandr Petrenko +2 more
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On Topological and Metric Properties of ⊕-sb-Metric Spaces
Mathematics, 2023 In this paper, we study ⊕-sb-metric spaces, which were introduced to generalize the concept of strong b-metric spaces. In particular, we study the properties of the topology induced via an ⊕-sb metric (separation properties, countability axioms, etc ...
Alexander Šostak +2 more
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On Radon Barycenters of Measures on Spaces of Measures
Известия Иркутского государственного университета: Серия "Математика", 2023 We study metrizability of compact sets in spaces of Radon measures with the weak topology. It is shown that if all compacta in a given completely regular topological space are metrizable, then every uniformly tight compact set in the space of Radon ...
V.I. Bogachev, S.N. Popova
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The Alexandroff Duplicate and its subspaces
Applied General Topology, 2007 We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of properties of subspaces of the Alexandroff duplicate.
Agata Caserta, Stephen Watson
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