Results 11 to 20 of about 2,708 (144)
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 ...
D'Oliveira, Rafael G. L., Firer, Marcelo
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Asymptotic structures of cardinals
Applied General Topology, 2014 A ballean is a set X endowed with some family F of its subsets, called the balls, in such a way that (X,F) can be considered as an asymptotic counterpart of a uniform topological space.
Oleksandr Petrenko +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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Metrizable and $\mathbb {R}$-metrizable betweenness spaces [PDF]
Proceedings of the American Mathematical Society, 1999 If \(d\) is a metric on a nonempty set \(A\) taking values in an ordered field then \((A,T_d)\), with \(T_d(x,y,z):\leftrightarrow d(x,y)+d(y,z)=d(x,z)\), will be called a metrizable betweenness space (MBS). If \(d\) takes values in \({\mathbb R}\), then \((A,T_d)\) is called an \({\mathbb R}\)-MBS.
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Some Metrization Theorems [PDF]
Proceedings of the American Mathematical Society, 1976 We prove, using H. W. Martin’s result on metrizable symmetric spaces and a symmetric of P. W. Harley III’s construction, a theorem which is slightly stronger than a recent theorem of Nagata.
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The Alexandroff Duplicate and its subspaces
Applied General Topology, 2007 We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of properties of subspaces of the Alexandroff duplicate.
Agata Caserta, Stephen Watson
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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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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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Quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces
International Journal of Mathematics and Mathematical Sciences, 2001 We determine conditions for quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces. This generalizes the results on metrizability of the point open topology and the compact open topology for function spaces.
Koena Rufus Nailana
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Partial metrizability in value quantales
Applied General Topology, 2004 Partial metrics are metrics except that the distance from a point to itself need not be 0. These are useful in modelling partially defined information, which often appears in computer science.
Ralph D. Kopperman +2 more
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