Simple homogeneous models

DOI10.1090/S0894-0347-02-00407-1zbMath1010.03025arXivmath/0101036OpenAlexW2109417180MaRDI QIDQ4780398

Olivier Lessmann, Steven Buechler

Publication date: 19 November 2002

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

Full work available at URL: https://arxiv.org/abs/math/0101036

zbMATH Keywords

parallelismimaginariessimple theorieslogical structurenonelementary classesgeometrical stability theorystrongly \(\lambda\)-homogeneous modelstype amalgamation

Mathematics Subject Classification ID

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

Related Items (17)

Simplicity and uncountable categoricity in excellent classes ⋮ Building independence relations in abstract elementary classes ⋮ Abstract elementary classes stable in \(\aleph_{0}\) ⋮ Dividing in the algebra of compact operators ⋮ An AEC framework for fields with commuting automorphisms ⋮ Independence relations for exponential fields ⋮ Model-theoretic independence in the Banach lattices \(L_{p}(\mu)\) ⋮ Simple stable homogeneous groups ⋮ Categoricity and U-rank in excellent classes ⋮ Forking in short and tame abstract elementary classes ⋮ Notes on Quasiminimality and Excellence ⋮ Simple-like independence relations in abstract elementary classes ⋮ Categoricity in homogeneous complete metric spaces ⋮ SIMPLICITY IN COMPACT ABSTRACT THEORIES ⋮ Shelah's categoricity conjecture from a successor for tame abstract elementary classes ⋮ On supersimplicity and lovely pairs of cats ⋮ THE KIM–PILLAY THEOREM FOR ABSTRACT ELEMENTARY CATEGORIES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures
• Geometrical model theory
• Differential Galois theory. I
• Differential Galois theory. III: Some inverse problems
• Differential Galois theory. II
• Model theory
• Shelah's stability spectrum and homogeneity spectrum in finite diagrams
• Simple stable homogeneous expansions of Hilbert spaces
• Strong splitting in stable homogeneous models
• Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
• HYPERDEFINABLE GROUPS IN SIMPLE THEORIES
• Simple unstable theories
• On the category of models of a complete theory
• Model theory of difference fields
• A rank for the class of elementary submodels of a superstable homogeneous model
• Supersimple theories
• Discouraging results for ultraimaginary independence theory
• Forking in Simple Unstable Theories
• Zariski geometries
• Coordinatisation and canonical bases in simple theories
• Finite diagrams stable in power

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