Weakly one-based geometric theories

DOI10.2178/jsl/1333566629zbMath1405.03077OpenAlexW2103381492MaRDI QIDQ2892666

Alexander Berenstein, Evgueni Vassiliev

Publication date: 19 June 2012

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

Full work available at URL: https://projecteuclid.org/euclid.jsl/1333566629

zbMATH Keywords

geometriesgeometric structureslinear structuresrosy theorieslovely pairs

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Model theory of ordered structures; o-minimality (03C64)

Related Items (11)

Unnamed Item ⋮ Generic trivializations of geometric theories ⋮ Weak one-basedness ⋮ Supersimple structures with a dense independent subset ⋮ Kinds of pregeometries of acyclic theories ⋮ Geometric structures with a dense independent subset ⋮ Zarankiewicz’s problem for semilinear hypergraphs ⋮ Fields with a dense-codense linearly independent multiplicative subgroup ⋮ A.D. Taimanov and model theory in Kazakhstan ⋮ Ample pairs ⋮ Kinds of pregeometries of cubic theories

Cites Work

• Unnamed Item
• Definable structures in o-minimal theories: one dimensional types
• On lovely pairs of geometric structures
• On lovely pairs and the \((\exists y\in P)\) quantifier
• First-order theories of abstract dependence relations
• Linear o-minimal structures
• Constructing a group-interval in \(O\)-minimal structures
• Lovely pairs of models
• Stability in geometric theories
• Generic pairs of SU-rank 1 structures
• Thorn independence in the field of real numbers with a small multiplicative group
• Construction d'un groupe dans les structures C-minimales
• The geometry of 1-based minimal types
• THE FIELDS OF REAL AND COMPLEX NUMBERS WITH A SMALL MULTIPLICATIVE GROUP

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