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

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.

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

Information

Published: June 2013
First available in Project Euclid: 15 May 2013

zbMATH: 1311.03063
MathSciNet: MR3145192
Digital Object Identifier: 10.2178/jsl.7802080

Subjects:
Primary: 03C45

Rights: Copyright © 2013 Association for Symbolic Logic

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Vol.78 • No. 2 • June 2013
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