Stability in geometric theories

DOI10.1016/j.apal.2004.10.016zbMath1064.03024OpenAlexW2047357157MaRDI QIDQ1765162

Jerry Gagelman

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.apal.2004.10.016

zbMATH Keywords

stabilitysuperstabilitygeometric structurefinite \(U\)-rankgeometric surgical theories

Mathematics Subject Classification ID

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

Related Items (18)

Weakly one-based geometric theories ⋮ Generic trivializations of geometric theories ⋮ Orbits of subsets of the monster model and geometric theories ⋮ Definable one dimensional structures in o-minimal theories ⋮ Companionability characterization for the expansion of an o-minimal theory by a dense subgroup ⋮ Euler characteristic of imaginaries in o‐minimal structures ⋮ A preservation theorem for theories without the tree property of the first kind ⋮ Topologizing interpretable groups in \(p\)-adically closed fields ⋮ Superrosiness and dense pairs of geometric structures ⋮ A note on geometric theories of fields ⋮ Geometric structures with a dense independent subset ⋮ Weakly minimal groups with a new predicate ⋮ Structure theorems in tame expansions of o-minimal structures by a dense set ⋮ Dimensions, matroids, and dense pairs of first-order structures ⋮ 2007 European Summer Meeting of the Association for Symbolic Logic: Logic Colloquium '07 ⋮ Eliminating field quantifiers in strongly dependent henselian fields ⋮ Generic expansions by a reduct ⋮ Characterizing rosy theories

Cites Work

• Groups definable in local fields and pseudo-finite fields
• Some remarks on definable equivalence relations in O-minimal structures
• Unnamed Item

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