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On dp-minimal ordered structures

Published:2011-06 Issue:2 Volume:76 Page:448-460
ISSN:0022-4812
Container-title:The Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Simon Pierre

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference17 articles.

1. Classification theory for elementary classes with the dependence property - a modest beginning;Shelah;Scientlae Mathematlcae Japontcae,2004

2. Theories of linear order

3. Dependent first order theories, continued

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