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On dp-minimal ordered structures

Published online by Cambridge University Press:  12 March 2014

Pierre Simon
Pierre Simon*
Affiliation:
Ens, Département de Mathématiques et Applications, 45, Rue d'Ulm, 75005 Paris, Franceand Département de Mathématiques, Bâtiment 425, Faculté des Sciences d'Orsay, Université Paris-Sud 11, F-91405 Orsay Cedex, France, E-mail: pierre.simon.05@normalesup.org
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Abstract

We show basic facts about dp-minimal ordered structures. The main results are: dp-minimal groups are abelian-by-finite-exponent, in a divisible ordered dp-minimal group, any infinite set has nonempty interior, and any theory of pure tree is dp-minimal.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 76 , Issue 2 , June 2011 , pp. 448 - 460
Copyright
Copyright © Association for Symbolic Logic 2011

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