Forking geometry on theories with an independent predicate

Archive for Mathematical Logic 54 (1-2):247-255 (2015)
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Abstract

We prove that a simple theory of SU-rank 1 is n-ample if and only if the associated theory equipped with a predicate for an independent dense subset is n-ample for n at least 2.

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References found in this work

On lovely pairs of geometric structures.Alexander Berenstein & Evgueni Vassiliev - 2010 - Annals of Pure and Applied Logic 161 (7):866-878.
A note on CM-Triviality and the geometry of forking.Anand Pillay - 2000 - Journal of Symbolic Logic 65 (1):474-480.
The geometry of forking and groups of finite Morley rank.Anand Pillay - 1995 - Journal of Symbolic Logic 60 (4):1251-1259.
A free pseudospace.Andreas Baudisch & Anand Pillay - 2000 - Journal of Symbolic Logic 65 (1):443-460.
Ample dividing.David M. Evans - 2003 - Journal of Symbolic Logic 68 (4):1385-1402.

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