Amenability and Ramsey theory

DOI10.4064/FM220-3-6zbMath1263.05114arXiv1106.3127OpenAlexW2964008408MaRDI QIDQ4909601

Justin Tatch Moore

Publication date: 21 March 2013

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3127

zbMATH Keywords

free groupThompson's groupamenablestructural Ramsey theoryultrahomogeneousextremely amenableFølner criterionFraïsséinvariant measurability

Mathematics Subject Classification ID

Geometric group theory (20F65) Other groups related to topology or analysis (20F38) Ramsey theory (05D10) Means on groups, semigroups, etc.; amenable groups (43A07) Partition relations (03E02) Model theory of denumerable and separable structures (03C15)

Related Items (9)

Automorphism groups of generic structures: extreme amenability and amenability ⋮ Fixed points in convex cones ⋮ Automorphism invariant measures and weakly generic automorphisms ⋮ On the topological dynamics of automorphism groups: a model-theoretic perspective ⋮ The Liouville property and random walks on topological groups ⋮ Random orderings and unique ergodicity of automorphism groups ⋮ Fixed points in compactifications and combinatorial counterparts ⋮ The vertices of primitive zonotopes ⋮ Ramsey theory and topological dynamics for first order theories

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