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arXiv · 1205.5981

On the canonical base property

Ehud Hrushovski·Daniel Palacin·Anand Pillay
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Abstract

We give an example of a finite rank, in fact aleph-1 categorical theory where the CBP (canonical base property) does not hold. We include a "group-like" example. We also prove, in a finite Morley rank context, if all definable Galois groups are "rigid" then the theory has the CBP (in a strong sense).

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Ehud Hrushovski, Daniel Palacin, Anand Pillay. 2012-05-27. On the canonical base property. https://arxiv.org/abs/1205.5981

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