Towards a Ryll-Nardzewski-type theorem for weakly oligomorphic structures

DOI10.1002/malq.201400067zbMath1360.03074arXiv1303.7429OpenAlexW1784570274MaRDI QIDQ2793904

Christian Pech, Maja Pech

Publication date: 17 March 2016

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.7429

zbMATH Keywords

homogeneityagecoreoligomorphic structureRyll-Nardzewski theorem\(\omega\)-categorical structure

Mathematics Subject Classification ID

Models with special properties (saturated, rigid, etc.) (03C50) Properties of classes of models (03C52) Model theory of denumerable and separable structures (03C15) Categoricity and completeness of theories (03C35)

Related Items (7)

On a stronger reconstruction notion for monoids and clones ⋮ IB-homogeneous graphs ⋮ The classification of homomorphism homogeneous tournaments ⋮ Action of endomorphism semigroups on definable sets ⋮ Two Fraïssé-style theorems for homomorphism-homogeneous relational structures ⋮ The independence number of HH-homogeneous graphs and a classification of MB-homogeneous graphs ⋮ Equations in oligomorphic clones and the constraint satisfaction problem for ω-categorical structures

Cites Work

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• Endolocality meets homomorphism-homogeneity: A new approach in the study of relational algebras
• Core-like properties of infinite graphs and structures
• On the Scope of the Universal-Algebraic Approach to Constraint Satisfaction
• Homomorphism-homogeneous graphs
• Oligomorphic transformation monoids and homomorphism-homogeneous structures
• The Bergman property for endomorphism monoids of some Fraïssé limits
• Homomorphism-Homogeneous Relational Structures
• Cores of Countably Categorical Structures
• A proof of the completeness theorem of Grödel

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