Conant's generalised metric spaces are Ramsey

zbMath1471.05109arXiv1710.04690MaRDI QIDQ5154971

Jan Hubička, Jaroslav Nešetřil, Matěj Konečný

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/1710.04690

zbMATH Keywords

metric spacegeneralized metric spacehomogeneous structureRamsey class

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Ramsey theory (05D10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Model theory of denumerable and separable structures (03C15) Infinite automorphism groups (20B27) Groups as automorphisms of other structures (22F50)

Related Items (3)

All those EPPA classes (strengthenings of the Herwig–Lascar theorem) ⋮ Extending partial isometries of antipodal graphs ⋮ A combinatorial proof of the extension property for partial isometries

Cites Work

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• Extending partial isometries
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• Structural Ramsey theory of metric spaces and topological dynamics of isometry groups
• Extending partial isometries of generalized metric spaces
• Distance Sets of Urysohn Metric Spaces
• On the isometry group of the Urysohn space
• Extending partial automorphisms and the profinite topology on free groups

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