Results 11 to 20 of about 1,571,864 (146)
New types of completeness in metric spaces
, 2014 This paper is devoted to introduce and study two new properties of completeness in the setting of metric spaces. We will call them Bourbaki-completeness and cofinal Bourbaki-completeness.
M. I. Garrido, Ana S. Meroño
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A characterisation of probabilistic metrizability for approach spaces
Topology and its ApplicationsCharacterisations 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
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Metrization of soft metric spaces and its application to fixed point theory
AIMS Mathematics<abstract><p>Soft set theory has attracted many researchers from several different branches. Sound theoretical improvements are accompanied with successful applications to practical solutions of daily life problems. However, some of the attempts of generalizing crisp concepts into soft settings end up with completely equivalent structures ...
Gültekin Soylu, Müge Çerçi
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On the Borel complexity and the complete metrizability of spaces of metrics [PDF]
Analysis and Geometry in Metric SpacesAbstract Given a metrizable space X X , let A
Katsuhisa Koshino
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A new generalization on metric space and its metrizability. [PDF]
JOURNAL OF ADVANCES IN MATHEMATICSIn 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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On the metrizability of m-Kropina spaces with closed null one-form [PDF]
Journal of Mathematics and Physics, 2022 We investigate the local metrizability of Finsler spaces with m-Kropina metric F = α1+ m β− m, where β is a closed null one-form. We show that such a space is of Berwald type if and only if the (pseudo-)Riemannian metric α and one-form β have a very ...
S. Heefer +3 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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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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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.
Abhishikta Das, T. Bag
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Metrizability of multiset topological spaces
SERIES III - MATEMATICS, INFORMATICS, PHYSICS, 2021 In this paper, we have investigated one of the basic topological properties, called Metrizability in multiset topological space. Metrizable spaces are those topological spaces which are homeomorphic to a metric space.
Karishma Shravan, B. Tripathy
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