Binary simple homogeneous structures are supersimple with finite rank

DOI10.1090/proc/12828zbMath1352.03044arXiv1406.7615OpenAlexW1779457736MaRDI QIDQ2790281

Vera Koponen

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7615

zbMATH Keywords

binary structurehomogeneous structuresimple theoriesstable structures

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Models with special properties (saturated, rigid, etc.) (03C50) Properties of classes of models (03C52) Quantifier elimination, model completeness, and related topics (03C10) Other classical first-order model theory (03C68)

Related Items (7)

Homogeneous 1‐based structures and interpretability in random structures ⋮ GENERALIZED AMALGAMATION AND HOMOGENEITY ⋮ ON CONSTRAINTS AND DIVIDING IN TERNARY HOMOGENEOUS STRUCTURES ⋮ Neostability in countable homogeneous metric spaces ⋮ BINARY PRIMITIVE HOMOGENEOUS SIMPLE STRUCTURES ⋮ Binary simple homogeneous structures ⋮ Supersimple \(\omega\)-categorical theories and pregeometries

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