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arxiv: 1205.5981 · v1 · pith:NL45JT3Pnew · submitted 2012-05-27 · 🧮 math.LO

On the canonical base property

classification 🧮 math.LO
keywords basecanonicalexamplefinitepropertyranktheoryaleph-1
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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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