Submission date: 10 July 2006

Abstract:

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

Full text: pdf, dvi, ps.