Vertex partitions of metric spaces with finite distance sets

DOI10.1016/j.disc.2011.06.002zbMath1238.05270arXiv1010.4212OpenAlexW1982754491MaRDI QIDQ658028

Norbert W. Sauer

Publication date: 11 January 2012

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

Full work available at URL: https://arxiv.org/abs/1010.4212

zbMATH Keywords

Ramsey theorymetric geometryUrysohn metric spaceoscillation stabilitytopological group actions

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Ramsey theory (05D10)

Related Items (6)

Ramsey theory of homogeneous structures: current trends and open problems ⋮ Age and weak indivisibility ⋮ Distance structures for generalized metric spaces ⋮ Simplicity of the automorphism groups of generalised metric spaces ⋮ All those Ramsey classes (Ramsey classes with closures and forbidden homomorphisms) ⋮ Distinguishing number of universal homogeneous Urysohn metric spaces

Cites Work

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• The oscillation stability problem for the Urysohn sphere: a combinatorial approach
• The Urysohn sphere is oscillation stable
• The distortion problem
• Theory of relations. Transl. from the French by P. Clote. With an appendix by Norbert Sauer.
• Divisibility of countable metric spaces
• Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
• Structural Ramsey theory of metric spaces and topological dynamics of isometry groups

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