Results 1 to 10 of about 1,774 (96)
On the Non Metrizability of Berwald Finsler Spacetimes [PDF]
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 ...
Andrea Fuster +3 more
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Metrizability of spaces of homomorphisms between metric vector spaces
Journal of Geometry and Physics, 2014 This note tries to give an answer to the following question: Is there a sufficiently rich class of metric vector spaces such that sufficiently large spaces of continuous linear maps between them are metrizable?Comment: 12 pages, no figure, submitted to ...
Hamilton +8 more
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Some critical remarks on the paper “A note on the metrizability of tvs-cone metric spaces” / Некоторые критические замечания о работе «Заметки о метризуемости твп-конических пространств» / Neke kritičke napomene o radu “Beleška o metrizabilnosti tvp-konusnih metričkih prostora” [PDF]
Vojnotehnički Glasnik, 2018 This short and concise note provides a detailed exposition of the approach and results established by (Lin et al, 2015, pp.271-279). We show that the obtained results are not particularly surprising and new.
Suzana M. Aleksić +3 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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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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The Entropy of Co-Compact Open Covers
Entropy, 2013 Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space (compactness and metrizability are not necessarily required).
Steven Bourquin +4 more
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Metric characterization of connectedness for topological spaces [PDF]
, 2014 Connectedness, path connectedness, and uniform connectedness are well-known concepts. In the traditional presentation of these concepts there is a substantial difference between connectedness and the other two notions, namely connectedness is defined as ...
Weiss, Ittay
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, 2013 We study the concept of cone metric space in the context of ordered vector spaces by setting up a general and natural framework for it.Comment: 10 ...
Ercan, Zafer, Çağlar, Mert
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Advanced Manifold–Metric Pairs
MathematicsThis article presents a novel mathematical formalism for advanced manifold–metric pairs, enhancing the frameworks of geometry and topology. We construct various D-dimensional manifolds and their associated metric spaces using functional methods, with a ...
Pierros Ntelis
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