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Preprint Number 15

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15. Assaf Hasson and Ehud Hrushovski
DMP in Strongly minimal sets

Submission date: 10 July 2006


We construct a strongly minimal set which is not a finite cover of one with DMP. We also prove that for a strongly minimal theory T generic automorphisms exist iff T has DMP, thus proving a conjecture of Kikyo and Pillay.

Mathematics Subject Classification: 03C45 (03C35)

Keywords and phrases: DMP, strongly minimal, generic automorphisms

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