Some weak indivisibility results in ultrahomogeneous metric spaces

DOI10.1016/j.ejc.2010.01.003zbMath1196.54047arXiv0811.4156OpenAlexW2089574458MaRDI QIDQ976169

Norbert W. Sauer, Lionel Nguyen Van Thé

Publication date: 17 June 2010

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

Full work available at URL: https://arxiv.org/abs/0811.4156

zbMATH Keywords

partition propertyUrysohn spaceage-indivisibleultrahomogeneousweakly indivisible

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Metric geometry (51F99) Generalized Ramsey theory (05C55) Uniform structures and generalizations (54E15) Model theory of finite structures (03C13) Ramsey theory (05D10) Partition relations (03E02)

Related Items (1)

Age and weak indivisibility

Cites Work

• Partitions and indivisibility properties of countable dimensional vector spaces
• Metric spaces are Ramsey
• The oscillation stability problem for the Urysohn sphere: a combinatorial approach
• Special issue: Based on lectures of the workshop on the Urysohn space, Ben-Gurion University of the Negev, Beer Sheva, Israel, May 21--24, 2006
• The Urysohn sphere is oscillation stable
• The distortion problem
• On Ramsey sets in spheres
• 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
• Metric Spaces and Positive Definite Functions

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