Ramsey degrees of finite ultrametric spaces, ultrametric Urysohn spaces and dynamics of their isometry groups

DOI10.1016/j.ejc.2008.07.007zbMath1171.05436arXiv0710.2347OpenAlexW4234861253MaRDI QIDQ1024289

Lionel Nguyen Van Thé

Publication date: 17 June 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2347

Mathematics Subject Classification ID

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

Related Items (9)

Automorphism groups of countably categorical linear orders are extremely amenable ⋮ Big Ramsey degrees of 3-uniform hypergraphs are finite ⋮ Dual Ramsey properties for classes of algebras ⋮ Big Ramsey degrees and topological dynamics ⋮ Dense locally finite subgroups of automorphism groups of ultraextensive spaces ⋮ Pre-adjunctions and the Ramsey property ⋮ Structural Ramsey theory of metric spaces and topological dynamics of isometry groups ⋮ Distance structures for generalized metric spaces ⋮ Simplicity of the automorphism groups of generalised metric spaces

Cites Work

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• Theory of relations. Transl. from the French by P. Clote
• Symmetries and Ramsey properties of trees
• A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein
• Minimal actions of the group \(\mathbb{S}(\mathbb{Z})\) of permutations of the integers
• Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
• Espaces ultramétriques
• On free actions, minimal flows, and a problem by Ellis
• Metrically homogeneous spaces
• On the classification of Polish metric spaces up to isometry
• Universal homogeneous ultrametric on the space of irrational numbers

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