SEMILATTICES AND THE RAMSEY PROPERTY

DOI10.1017/jsl.2014.40zbMath1332.05141OpenAlexW2405635038MaRDI QIDQ2795916

Miodrag Sokić

Publication date: 22 March 2016

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jsl.2014.40

zbMATH Keywords

semilatticesRamsey propertylinear orderings

Mathematics Subject Classification ID

Ramsey theory (05D10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Semilattices (06A12) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (7)

Categorical view of the partite lemma in structural Ramsey theory ⋮ Topological dynamics of kaleidoscopic groups ⋮ Dual Ramsey properties for classes of algebras ⋮ Ramsey transfer to semi-retractions ⋮ UNIVERSAL MINIMAL FLOWS OF GENERALIZED WAŻEWSKI DENDRITES ⋮ The Ramsey and the ordering property for classes of lattices and semilattices ⋮ Topological properties of Ważewski dendrite groups

Cites Work

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• Ramsey varieties
• Ramsey properties of finite posets
• Ramsey properties of finite posets. II
• Combinatorial partitions of finite posets and lattices - Ramsey lattices
• A Ramsey theorem for trees
• A generalization of Ramsey's theorem for regular trees
• Ramsey's theorem for a class of categories
• Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
• More on the Kechris–Pestov–Todorcevic correspondence: Precompact expansions
• The automorphism group of the random lattice is not amenable

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