Extreme amenability of \(L_0\), a Ramsey theorem, and Lévy groups

DOI10.1016/j.jfa.2008.03.016zbMath1172.22002OpenAlexW2015156320MaRDI QIDQ935061

Ilijas Farah, Slawomir Solecki

Publication date: 31 July 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.03.016

zbMATH Keywords

Ramsey theoryBorsuk-Ulam theoremextremely amenable groupssubmeasures\(L_{0}\)

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) General properties and structure of locally compact groups (22D05)

Related Items (10)

Concentration of measure, classification of submeasures, and dynamics of \(L_0\) ⋮ Automorphism groups of countable structures and groups of measurable functions ⋮ Algebraic structure of semigroup compactifications: Pym's and Veech's theorems and strongly prime points ⋮ On amenability and groups of measurable maps ⋮ Amenability versus property (𝑇) for non-locally compact topological groups ⋮ Concentration of invariant means and dynamics of chain stabilizers in continuous geometries ⋮ A finite presentation of the rational Urysohn space ⋮ Closed subgroups generated by generic measure automorphisms ⋮ Extreme amenability of abelian \(L_0\) groups ⋮ Ramsey properties of finite posets

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