Journal of Symbolic Logic

DMP in strongly minimal sets

Assaf Hasson and Ehud Hrushovski

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Abstract

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

Article information

Source
J. Symbolic Logic, Volume 72, Issue 3 (2007), 1019-1030.

Dates
First available in Project Euclid: 2 October 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1191333853

Digital Object Identifier
doi:10.2178/jsl/1191333853

Mathematical Reviews number (MathSciNet)
MR2354912

Zentralblatt MATH identifier
1129.03020

Citation

Hasson, Assaf; Hrushovski, Ehud. DMP in strongly minimal sets. J. Symbolic Logic 72 (2007), no. 3, 1019--1030. doi:10.2178/jsl/1191333853. https://projecteuclid.org/euclid.jsl/1191333853


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