Constructing a group-interval in \(O\)-minimal structures

DOI10.1016/0022-4049(94)90007-8zbMath0832.03019OpenAlexW1976986198MaRDI QIDQ1330686

Yaa'cov Peterzil

Publication date: 5 March 1996

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

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90007-8

zbMATH Keywords

classificationsaturationCF-propertygroup intervalO-minimal structure

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Models with special properties (saturated, rigid, etc.) (03C50)

Related Items (11)

Weakly one-based geometric theories ⋮ Euler characteristic of imaginaries in o‐minimal structures ⋮ Geometry, Calculus and Zil'ber's Conjecture ⋮ INTERPRETABLE SETS IN DENSE O-MINIMAL STRUCTURES ⋮ Small profinite structures ⋮ Unstable structures definable in o-minimal theories ⋮ Construction d'un groupe dans les structures C-minimales ⋮ Zilber's conjecture for some o-minimal structures over the reals ⋮ Linear o-minimal structures ⋮ Simple algebraic and semialgebraic groups over real closed fields ⋮ Interpretable groups are definable

Cites Work

• On groups and fields definable in o-minimal structures
• Linear o-minimal structures
• Zilber's conjecture for some o-minimal structures over the reals
• Stable embeddedness in algebraically closed valued fields
• Some remarks on definable equivalence relations in O-minimal structures
• Definable Sets in Ordered Structures. I
• Definable Sets in Ordered Structures. II
• Dedekind Completeness and the Algebraic Complexity of o-Minimal Structures
• Unnamed Item

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