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Dependent pairs
Journal of Symbolic Logic 76 (2):377 - 390 (2011)
Abstract
We prove that certain pairs of ordered structures are dependent. Among these structures are dense and tame pairs of o-minimal structures and further the real field with a multiplicative subgroup with the Mann property, regardless of whether it is dense or discreteLinks
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Citations of this work
On non-compact p-adic definable groups.Will Johnson & Ningyuan Yao - 2022 - Journal of Symbolic Logic 87 (1):188-213.
Fields with a dense-codense linearly independent multiplicative subgroup.Alexander Berenstein & Evgueni Vassiliev - 2020 - Archive for Mathematical Logic 59 (1-2):197-228.
Wild theories with o-minimal open core.Philipp Hieronymi, Travis Nell & Erik Walsberg - 2018 - Annals of Pure and Applied Logic 169 (2):146-163.
NIP for some pair-like theories.Gareth Boxall - 2011 - Archive for Mathematical Logic 50 (3-4):353-359.
The field of reals with a predicate for the real algebraic numbers and a predicate for the integer powers of two.Mohsen Khani - 2015 - Archive for Mathematical Logic 54 (7):885-898.
References found in this work
Thorn independence in the field of real numbers with a small multiplicative group.Alexander Berenstein, Clifton Ealy & Ayhan Günaydın - 2007 - Annals of Pure and Applied Logic 150 (1-3):1-18.
Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory.Saharon Shelah - 1971 - Annals of Mathematical Logic 3 (3):271-362.
A Course in Model Theory. An Introduction to Contemporary Mathematical Logic.Gregory Cherlin - 2001 - Bulletin of Symbolic Logic 7 (4):521-522.
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