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Preprint Number 461

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461. Ehud Hrushovski, Daniel Palacin and Anand Pillay
On the canonical base property

Submission date: 28 May 2012.


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).

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1205.5981: pdf, ps.

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