An ω-categorical structure with amenable automorphism group
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Publication:2947236
DOI10.1002/malq.201400036zbMath1357.03071arXiv1403.7610OpenAlexW1904163405MaRDI QIDQ2947236
Publication date: 22 September 2015
Published in: Mathematical Logic Quarterly (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.7610
\(\omega\)-categorical precompact expansionamenable automorphism groupparticular \(\omega\)-categorical structure
Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52) Categoricity and completeness of theories (03C35)
Related Items (3)
All those EPPA classes (strengthenings of the Herwig–Lascar theorem) ⋮ Automorphism groups of generic structures: extreme amenability and amenability ⋮ Automorphism invariant measures and weakly generic automorphisms
Cites Work
- A countably categorical theory which is not \(G\)-compact
- Random orderings and unique ergodicity of automorphism groups
- Automorphisms of homogeneous structures
- Extending partial isomorphisms for the small index property of many \(\omega\)-categorical structures
- Strongly determined types
- Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
- More on the Kechris–Pestov–Todorcevic correspondence: Precompact expansions
- Dynamical properties of the automorphism groups of the random poset and random distributive lattice
- On many-sorted ω-categorical theories
- Turbulence, amalgamation, and generic automorphisms of homogeneous structures
- Model theory of difference fields
- Amenability and unique ergodicity of automorphism groups of Fraïssé structures
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