Thorn independence in the field of real numbers with a small multiplicative group

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Annals of Pure and Applied Logic 150 (1-3):1-18 (2007)
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Abstract

We characterize þ-independence in a variety of structures, focusing on the field of real numbers expanded by predicate defining a dense multiplicative subgroup, G, satisfying the Mann property and whose pth powers are of finite index in G. We also show such structures are super-rosy and eliminate imaginaries up to codes for small sets

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10.1016/j.apal.2007.06.002

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Citations of this work

On lovely pairs of geometric structures.Alexander Berenstein & Evgueni Vassiliev - 2010 - Annals of Pure and Applied Logic 161 (7):866-878.
Dependent pairs.Ayhan Günaydin & Philipp Hieronymi - 2011 - Journal of Symbolic Logic 76 (2):377 - 390.
Weakly one-based geometric theories.Alexander Berenstein & Evgueni Vassiliev - 2012 - Journal of Symbolic Logic 77 (2):392-422.

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References found in this work

Model theory.Wilfrid Hodges - 2008 - Stanford Encyclopedia of Philosophy.
Properties and Consequences of Thorn-Independence.Alf Onshuus - 2006 - Journal of Symbolic Logic 71 (1):1 - 21.
Generic pairs of SU-rank 1 structures.Evgueni Vassiliev - 2003 - Annals of Pure and Applied Logic 120 (1-3):103-149.
Pseudoprojective strongly minimal sets are locally projective.Steven Buechler - 1991 - Journal of Symbolic Logic 56 (4):1184-1194.
Model Theory of Fields.D. Marker, M. Messmer & A. Pillay - 2001 - Studia Logica 67 (1):123-124.

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