Some trivial considerations

DOI10.2307/2274704zbMath0741.03015OpenAlexW2049505987MaRDI QIDQ3984436

Bruno Poizat

Publication date: 27 June 1992

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2274704

zbMATH Keywords

superstable theorytrivialityfinite rank

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45)

Related Items (18)

A model-theoretic study of right-angled buildings ⋮ DISTALITY RANK ⋮ Supersimple structures with a dense independent subset ⋮ Worst-case expansions of complete theories ⋮ GENERALIZED AMALGAMATION AND HOMOGENEITY ⋮ Weakly minimal groups with a new predicate ⋮ Countable models of 1-based theories ⋮ ON CONSTRAINTS AND DIVIDING IN TERNARY HOMOGENEOUS STRUCTURES ⋮ Ample Dividing ⋮ Triviality, NDOP and stable varieties ⋮ The Schröder-Bernstein property for weakly minimal theories ⋮ BINARY PRIMITIVE HOMOGENEOUS SIMPLE STRUCTURES ⋮ Reducts of Hrushovski's constructions of a higher geometrical arity ⋮ Binary simple homogeneous structures ⋮ The elementary diagram of a trivial, weakly minimal structure is near model complete ⋮ Ample pairs ⋮ Supersimple \(\omega\)-categorical theories and pregeometries ⋮ Strict superstablity and decidability of certain generic graphs

Cites Work

• Locally modular theories of finite rank
• \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures
• Trivial pursuit: remarks on the main gap
• Maximal chains in the fundamental order
• Attention à la marche!
• Pseudoprojective strongly minimal sets are locally projective

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