Topological dynamics of unordered Ramsey structures

DOI10.4064/FM230-1-3zbMath1318.05041arXiv1401.7766OpenAlexW2964273357MaRDI QIDQ4983476

Moritz Müller, András Pongrácz

Publication date: 26 March 2015

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

Full work available at URL: https://arxiv.org/abs/1401.7766

zbMATH Keywords

Ramseyamenablemeasure concentrationfinite flow

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Model theory of denumerable and separable structures (03C15) Groups as automorphisms of other structures (22F50) Flows in graphs (05C21)

Related Items (6)

Categorical equivalence and the Ramsey property for finite powers of a primal algebra ⋮ Ramsey properties of products and pullbacks of categories and the Grothendieck construction ⋮ Dual Ramsey properties for classes of algebras ⋮ Topological dynamics of automorphism groups, ultrafilter combinatorics, and the Generic Point Problem ⋮ Ramsey degrees: big v. small ⋮ The Kechris-Pestov-Todorčević correspondence from the point of view of category theory

Cites Work

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• New Ramsey classes from old
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• More on the Kechris–Pestov–Todorcevic correspondence: Precompact expansions
• Dynamics of non-archimedean Polish groups
• The 116 reducts of (ℚ, <, a)
• Decidability of Definability
• Amenability and unique ergodicity of automorphism groups of Fraïssé structures

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