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Ample thoughts

Published online by Cambridge University Press:  12 March 2014

Daniel Palacín  and
Frank O. Wagner
Daniel Palacín*
Affiliation:
Université de Lyon, CNRS, Université Lyon 1, Institut Camille Jordan UMR5208, 43 bd du 11 novembre 1918, 69622 Villeurbanne Cedex, France, E-mail:palacin@math.univ-lyonl.fr
Frank O. Wagner
Affiliation:
Université de Lyon CNRS, Université Lyon 1, Institut Camille Jordan Umr5208, 43 Bd Du 11 Novembre 1918, 69622 Villeurbanne Cedex, France, E-mail:wagner@math.univ-lyonl.fr
*
Universitat de Barcelona, Departament de Lógica, Història I Filosofia de la Ciència, Montalegre 6, 08001 Barcelona, Spain
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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.

Keywords

stablesimpleone-basedCM-trivialn-ampleinternalanalysableclosurelevelflatultraflatcanonical base property

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 2 , June 2013 , pp. 489 - 510
Copyright
Copyright © Association for Symbolic Logic 2013

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References

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