Characterizing rosy theories

DOI10.2178/jsl/1191333848zbMath1127.03027OpenAlexW2074565872MaRDI QIDQ5422310

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Publication date: 17 October 2007

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

Full work available at URL: https://projecteuclid.org/euclid.jsl/1191333848

zbMATH Keywords

rosy theorysuperrosy theoryequivalence relation ranksurgical structurethorn forking

Mathematics Subject Classification ID

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

Related Items (24)

Imaginaries in bounded pseudo real closed fields ⋮ A remark on strict independence relations ⋮ Expansions of o-minimal structures by dense independent sets ⋮ On (uniform) hierarchical decompositions of finite structures and model-theoretic geometry ⋮ Pseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\) ⋮ Weak one-basedness ⋮ Non-forking and preservation of NIP and dp-rank ⋮ The Lascar groups and the first homology groups in model theory ⋮ Super/rosy \(L^k\)-theories and classes of finite structures ⋮ Consistent amalgamation for þ-forking ⋮ Superrosiness and dense pairs of geometric structures ⋮ Dimensions, matroids, and dense pairs of first-order structures ⋮ Notions around tree property 1 ⋮ Thorn-forking in continuous logic ⋮ Expansions which introduce no new open sets ⋮ Superrosy fields and valuations ⋮ On the \(n\)-uniqueness of types in rosy theories ⋮ Definable groups in models of Presburger arithmetic ⋮ Superrosy dependent groups having finitely satisfiable generics ⋮ Characterizing model-theoretic dividing lines via collapse of generalized indiscernibles ⋮ A GEOMETRIC INTRODUCTION TO FORKING AND THORN-FORKING ⋮ ON LINEARLY ORDERED STRUCTURES OF FINITE RANK ⋮ AN AXIOMATIC APPROACH TO FREE AMALGAMATION ⋮ Residue field domination in real closed valued fields

Cites Work

• Dimension of definable sets, algebraic boundedness and Henselian fields
• Model theory and algebra. A memorial tribute to Abraham Robinson
• Groups definable in local fields and pseudo-finite fields
• Simple theories
• Perfect pseudo-algebraically closed fields are algebraically bounded.
• Stability in geometric theories
• Corps et chirurgie
• Properties and consequences of Thorn-independence

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