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.
Citation
Daniel Palacín. Frank O. Wagner. "Ample thoughts." J. Symbolic Logic 78 (2) 489 - 510, June 2013. https://doi.org/10.2178/jsl.7802080
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