The Urysohn sphere is oscillation stable

DOI10.1007/s00039-009-0007-5zbMath1191.46012arXiv0710.2884OpenAlexW2004323320MaRDI QIDQ1034684

Norbert W. Sauer, Lionel Nguyen Van Thé

Publication date: 6 November 2009

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2884

zbMATH Keywords

Urysohn sphereapproximately indivisible metric spaceoscillation stableultrahomogeneous metric space

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Metric geometry (51F99) Generalized Ramsey theory (05C55) Ramsey theory (05D10) General theory of group and pseudogroup actions (22F05) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Asymptotic theory of Banach spaces (46B06)

Related Items (9)

A topological transformation group without non-trivial equivariant compactifications ⋮ Set-homogeneous directed graphs ⋮ Ramsey theory of homogeneous structures: current trends and open problems ⋮ Subgroups of isometries of Urysohn-Katětov metric spaces of uncountable density ⋮ Age and weak indivisibility ⋮ Vertex partitions of metric spaces with finite distance sets ⋮ The oscillation stability problem for the Urysohn sphere: a combinatorial approach ⋮ Some weak indivisibility results in ultrahomogeneous metric spaces ⋮ On the structure of random hypergraphs

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