Results 1 to 10 of about 2,708 (144)
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 +2 more
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Projective Metrizability and Formal Integrability [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented curves.
Ioan Bucataru, Zoltán Muzsnay
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Topology and Its Applications, 1998 The author shows that quasi-(pseudo)metrizability of a topological space \(X\) is equivalent to the availability on \(X\) of a decreasing neighborhood base \((g(n,x))_{n\in \omega}\) at every \(x\in X\) such that for every countable and relatively locally finite \(A\subseteq X\) and \(n\in \omega\) we have \(g(\nu,g(\nu,A))\subseteq g(n,A)\) for some \(
exaly +2 more sources
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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𝜅-metrizable spaces, stratifiable spaces and metrization [PDF]
Proceedings of the American Mathematical Society, 1989 It is shown that every κ \kappa -metrizable CW-complex is metrizable. Examples are given showing that a stratifiable κ \kappa -metrizable space and an additively κ \kappa -metrizable space need not be metrizable.
Suzuki, J., Tamano, K., Tanaka, Y.
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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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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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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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