Supersimple \(\omega\)-categorical theories and pregeometries

DOI10.1016/J.APAL.2019.102718OpenAlexW2962936691MaRDI QIDQ2326428

Vera Koponen

Publication date: 7 October 2019

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05748

zbMATH Keywords

model theoryelimination of quantifierspregeometryhomogeneous structuresimple theoryOmega-categorical theory

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Models with special properties (saturated, rigid, etc.) (03C50) Quantifier elimination, model completeness, and related topics (03C10) Model theory of denumerable and separable structures (03C15)

Cites Work

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• Unidimensional theories are superstable
• Generalized amalgamation and \(n\)-simplicity
• \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures
• Binary simple homogeneous structures
• A survey of homogeneous structures
• Binary simple homogeneous structures are supersimple with finite rank
• Simplicity Theory
• Interpreting groups in ω-categorical structures
• Some trivial considerations
• A note on Lascar strong types in simple theories
• Unimodular Minimal Structures
• The geometry of 1-based minimal types
• Supersimple ω-categorical groups and theories
• GENERALIZED AMALGAMATION AND HOMOGENEITY
• ON CONSTRAINTS AND DIVIDING IN TERNARY HOMOGENEOUS STRUCTURES
• Two conjectures regarding the stability of ω-categorical theories
• Coordinatisation and canonical bases in simple theories

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