Metrically generated probabilistic metric spaces
R. Stevens (1967)
Fundamenta Mathematicae
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Displaying similar documents to “Remark on Raimi's theorem on translations”
Metrically generated probabilistic metric spaces
Translation properties of finite partitions of the positive integers
Ralph Raimi (1967)
Fundamenta Mathematicae
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On some covering properties of metric spaces
Roman Duda, Rastislav Telgársky (1968)
Czechoslovak Mathematical Journal
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Geometry and dynamics of admissible metrics in measure spaces
Anatoly Vershik, Pavel Zatitskiy, Fedor Petrov (2013)
Open Mathematics
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We study a wide class of metrics in a Lebesgue space, namely the class of so-called admissible metrics. We consider the cone of admissible metrics, introduce a special norm in it, prove compactness criteria, define the ɛ-entropy of a measure space with an admissible metric, etc. These notions and related results are applied to the theory of transformations with invariant measure; namely, we study the asymptotic properties of orbits in the cone of admissible metrics with respect to a...
On probabilistic metrics and numerical metrics with probability. I
Karl Menger, Berthold Schweizer, Abe Sklar (1959)
Czechoslovak Mathematical Journal
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On having a countable cover by sets of small local diameter
Nadezhda Ribarska (2000)
Studia Mathematica
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A characterization of topological spaces admitting a countable cover by sets of small local diameter close in spirit to known characterizations of fragmentability is obtained. It is proved that if X and Y are Hausdorff compacta such that C(X) has an equivalent p-Kadec norm and has a countable cover by sets of small local norm diameter, then has a countable cover by sets of small local norm diameter as well.