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A random metric space is the universal Urysohn space

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Publication:859360
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zbMath1146.54309MaRDI QIDQ859360

Anatoly M. Vershik

Publication date: 12 January 2007

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

Uryson space


Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Complete metric spaces (54E50) Probability theory on algebraic and topological structures (60B99) Probabilistic metric spaces (54E70) Functional analysis in probabilistic metric linear spaces (46S50)


Related Items (8)

The Urysohn universal metric space is homeomorphic to a Hilbert space ⋮ The isometry group of the Urysohn space as a Lévy group ⋮ Invariant measures via inverse limits of finite structures ⋮ Dynamics of metrics in measure spaces and scaling entropy ⋮ Some isometry groups of the Urysohn space ⋮ Generic separable metric structures ⋮ On the classification problem of measurable functions in several variables and on matrix distributions ⋮ Probability distribution of metric measure spaces




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