Generic pairs of SU-rank 1 structures

DOI10.1016/S0168-0072(02)00060-XzbMath1010.03023MaRDI QIDQ1861327

Evgueni Vassiliev

Publication date: 16 March 2003

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

zbMATH Keywords

supersimple theorylinearitylocal modularityelementary pairs1-basednessgeneric expansionsprojective geometries over division rings

Mathematics Subject Classification ID

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

Related Items (17)

Weakly one-based geometric theories ⋮ 2009 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '09 ⋮ Generic trivializations of geometric theories ⋮ Weak one-basedness ⋮ A dichotomy for \(D\)-rank 1 types in simple theories ⋮ Supersimple structures with a dense independent subset ⋮ Lovely pairs of models ⋮ Superrosiness and dense pairs of geometric structures ⋮ Geometric structures with a dense independent subset ⋮ On lovely pairs of geometric structures ⋮ Thorn independence in the field of real numbers with a small multiplicative group ⋮ The independence property in generalized dense pairs of structures ⋮ 2003 Annual Meeting of the Association for Symbolic Logic ⋮ Dense codense predicates and the NTP₂ ⋮ On the weak non-finite cover property and the n-tuples of simple structures ⋮ A.D. Taimanov and model theory in Kazakhstan ⋮ On pseudolinearity and generic pairs

Cites Work

• On locally modular, weakly minimal theories
• \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures
• Strongly minimal countably categorical theories. II
• First-order theories of abstract dependence relations
• Strongly minimal countably categorical theories. III
• Dimensional order property and pairs of models
• Strongly minimal countably categorical theories
• Forcing, arithmetic, division rings
• Generic structures and simple theories
• Groups definable in local fields and pseudo-finite fields
• Simple theories
• Finite regular locally projective spaces
• Stable theories with a new predicate
• Paires de structures stables
• Des belles paires aux beaux uples
• Simple unstable theories
• Pseudoprojective strongly minimal sets are locally projective
• Paires de structures O-minimales
• Definability of types, and pairs of O-minimal structures
• Finite Covers, Cohomology and Homogeneous Structures
• Stability theory, permutations of indiscernibles, and embedded finite models
• Paires élémentaires de corps pseudo-finis: dénombrement des complétions (Elementary pairs of pseudo-finite fields: counting completions)
• Supersimple theories
• CONSTRUCTING AN ALMOST HYPERDEFINABLE GROUP
• Forking in Simple Unstable Theories
• Coordinatisation and canonical bases in simple theories
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generic pairs of SU-rank 1 structures