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Ample thoughts
Published online by Cambridge University Press: 12 March 2014
Abstract
Non-n-ampleness as denned by Pillay [20] and Evans [5] is preserved under analysability. Generalizing this to a more general notion of Σ-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.
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- Copyright © Association for Symbolic Logic 2013
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