Results 11 to 20 of about 859 (275)
Metrization of Weakly Developable Spaces [PDF]
Sultan Qaboos University Journal for Science, 2002 In this note, we present metrization of weak developability.
Abdul M. Mohamad
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On a metric of the space of idempotent probability measures
Applied General Topology, 2020 In this paper we introduce a metric on the space I(X) of idempotent probability measures on a given compact metric space (X; ρ), which extends the metric ρ. It is proven the introduced metric generates the pointwise convergence topology on I(X).
Adilbek Atakhanovich Zaitov
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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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On metrization of the space Dα[0, ∞)
Lietuvos Matematikos Rinkinys, 2001 A complete metric on the function space Dα[0, ∞) , which is a subspace of the space Dα[0, ∞) of functions without discontinuities of the second kind, is constructed. This metric converts Dα[0, ∞) into a complete separable metric space.
Rimas Banys
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Computably regular topological spaces [PDF]
Logical Methods in Computer Science, 2013 This article continues the study of computable elementary topology started by the author and T. Grubba in 2009 and extends the author's 2010 study of axioms of computable separation.
Klaus Weihrauch
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, 2000 The goal of this study is to prove The Urysohn Metrization Theorem. This paper represents an introduction to topological spaces with the focus on metric spaces. We provide a background in set theory and function theory first, then proceed introducing the
Bender, Monika
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European Journal of Combinatorics, 2019 We present an algorithm that, given a channel, determines if there is a distance for it such that the maximum likelihood decoder coincides with the minimum distance decoder. We also show that any metric, up to a decoding equivalence, can be isometrically embedded into the hypercube with the Hamming metric, and thus, in terms of decoding, the Hamming ...
Rafael Gregorio Lucas D'Oliveira +1 more
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Proceedings of the American Mathematical Society, 1966 A. characterization of metrizable topological spaces in terms of subtopologies is given. First, several terms are defined in order to describe the pertinent subtopologies. Then, the characterization is readily established as a result of a metrization theorem due to Bing [l ] and a metrization theorem due to Ceder [2]. Definition 1.
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Applied General Topology, 2018 We identify two categories of quantale-valued convergence tower spaces that are isomorphic to the categories of quantale-valued metric spaces and quantale-valued partial metric spaces, respectively.
Gunther Jäger, T. M. G. Ahsanullah
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A new approach to metrization [PDF]
, 2002 We give a new metrization theorem on terms of a new structure introduced by the authors in [Rend. Instit. Mat. Univ. Trieste 30 (1999) 21–30] and called fractal structure.
Arenas, F.G., Sánchez-Granero, M.A.
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