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arXiv · 1104.0179

Ample thoughts

Daniel Palacin·Frank Olaf Wagner
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Abstract

Non-n-ampleness as defined by Pillay and Evans is preserved under analysability. Generalizing this to a more general notion of Sigma-ampleness, we obtain an immediate proof for all simple theories of CHatzidakis weak Canonical Base Property (CBP) for types of finite SU-rank. This is then applied to the special case of groups.

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Daniel Palacin, Frank Olaf Wagner. 2011-04-01. Ample thoughts. https://doi.org/10.2178/jsl.7802080

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