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 [PDF]
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
core +5 more sources
On the metrizability of cone metric spaces
Topology and its Applications, 2011 We have shown in this paper that a (complete) cone metric space ( X , E , P , d ) is indeed (completely) metrizable for a suitable metric D. Moreover, given any finite number of contractions f 1 , … , f n on the cone metric space ( X , E , P , d ) , D ...
M. Khani, M. Pourmahdian
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Remarks on metrizability and generalized metric spaces
Topology and its Applications, 1999 Professor Nagata's remarks and reviews on metrization are always worth close scrutiny by anyone interested in topology. The two main results of the paper under review are: Theorem 1. A regular space \(X\) is metrizable iff it has a \(\sigma\)-closure-preserving \(k\)-network \(\bigcup{\mathcal F}_n\) such that each \({\mathcal F}_n\) is pseudo-interior-
J. Nagata
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Metrizability of decomposition spaces of metric spaces
Topology and its Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshio Tanaka
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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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Some remarks on the metrizability of $$\mathcal {F}$$F-metric spaces [PDF]
Journal of Fixed Point Theory and Applications, 2018 In this manuscript, we claim that the newly introduced $$\mathcal {F}$$F-metric space [4, J. Fixed Point Theory Appl. 20(3):128 (2018)] is metrizable. Also, we deduce that the notions of convergence, Cauchy sequence, completeness due to Jleli and Samet ...
S. Som, A. Bera, L. Dey
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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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Metrization of soft metric spaces and its application to fixed point theory
AIMS MathematicsSoft 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
G. Soylu, Müge Çerçi
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Metrizability of Topology, Precompactness and Semi-Compatibal Mappings in Neutrosophic Metric Spaces [PDF]
Neutrosophic Sets and SystemsIn this manuscript, we discuss the metrizability of the topology produced by arbitrary neutrosophic metric space. Further, we demonstrate that the resulting topology is completely metrizable if the neutrosophic metric space is complete and a neutrosophic
Khaleel Ahmad, Umar Ishtiaq
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