Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem

DOI10.1090/conm/690/13863zbMath1423.03113OpenAlexW2745327669MaRDI QIDQ5351850

Miodrag Sokić, Stevo Todorčević, Alexander S. Kechris

Publication date: 30 August 2017

Published in: Foundations of Mathematics (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/78728/

zbMATH Keywords

topological dynamicsstructural Ramsey theory

Mathematics Subject Classification ID

Model theory of finite structures (03C13) Ramsey theory (05D10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15) Model theory of denumerable and separable structures (03C15)

Related Items (3)

On the automorphism groups of universal submeasures ⋮ Amalgamation and Ramsey properties of \(L_p\) spaces ⋮ Automorphism invariant measures and weakly generic automorphisms

Cites Work

• Metric spaces are Ramsey
• Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups
• Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• A Topological Application of the Isoperimetric Inequality
• On free actions, minimal flows, and a problem by Ellis
• SOME EXTREMELY AMENABLE GROUPS RELATED TO OPERATOR ALGEBRAS AND ERGODIC THEORY
• Ramsey's Theorem for n-Parameter Sets
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