The Kechris-Pestov-Todorčević correspondence from the point of view of category theory

DOI10.1007/s10485-020-09611-zzbMath1465.18002arXiv2007.14263OpenAlexW3090581795MaRDI QIDQ2035865

Dragan Mašulović

Publication date: 25 June 2021

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.14263

zbMATH Keywords

dualityRamsey propertycategorical constructionsRamsey expansions

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Definitions and generalizations in theory of categories (18A05)

Related Items (3)

Ramsey properties of products and pullbacks of categories and the Grothendieck construction ⋮ Dual Ramsey properties for classes of algebras ⋮ Ramsey degrees: big v. small

Cites Work

• Unnamed Item
• Hereditary attributes of surjections and parameter sets
• Amenability, definable groups, and automorphism groups
• Amalgamation and Ramsey properties of \(L_p\) spaces
• Categorical equivalence and the Ramsey property for finite powers of a primal algebra
• Ramsey's theorem for a class of categories
• Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
• Topological dynamics of automorphism groups, ultrafilter combinatorics, and the Generic Point Problem
• More on the Kechris–Pestov–Todorcevic correspondence: Precompact expansions
• Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
• Projective Fraïssé limits and the pseudo-arc
• On free actions, minimal flows, and a problem by Ellis
• More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
• Topological dynamics of unordered Ramsey structures

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