Journal of Symbolic Logic 78 (2):489-510 (2013)

Abstract
Non-$n$-ampleness as defined by Pillay [20] and Evans [5] is preserved under analysability. Generalizing this to a more general notion of $\Sigma$-ampleness, this gives an immediate proof for all simple theories of a weakened version of the Canonical Base Property (CBP) proven by Chatzidakis [4] for types of finite SU-rank. This is then applied to the special case of groups
Keywords stable   simple   one-based   CM-trivial   $n$-ample   internal   analysable   closure   level   flat   ultraflat   canonical base property
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DOI 10.2178/jsl.7802080
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References found in this work BETA

A New Strongly Minimal Set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.
[Omnibus Review].Anand Pillay - 1984 - Journal of Symbolic Logic 49 (1):317-321.
Vaught’s Conjecture for Superstable Theories of Finite Rank.Steven Buechler - 2008 - Annals of Pure and Applied Logic 155 (3):135-172.
The Geometry of Forking and Groups of Finite Morley Rank.Anand Pillay - 1995 - Journal of Symbolic Logic 60 (4):1251-1259.

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Citations of this work BETA

Additive Covers and the Canonical Base Property.Michael Loesch - forthcoming - Journal of Symbolic Logic:1-27.
Plus Ultra.Frank O. Wagner - 2015 - Journal of Mathematical Logic 15 (2):1550008.
Unimodularity Unified.Darío García & Frank O. Wagner - 2017 - Journal of Symbolic Logic 82 (3):1051-1065.

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