On dp-minimal ordered structures

Journal of Symbolic Logic 76 (2):448 - 460 (2011)

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 non-empty interior, and any theory of pure tree is dp-minimal
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DOI 10.2178/jsl/1305810758
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References found in this work BETA

On Variants of o-Minimality.Dugald Macpherson & Charles Steinhorn - 1996 - Annals of Pure and Applied Logic 79 (2):165-209.

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Citations of this work BETA

Theories Without the Tree Property of the Second Kind.Artem Chernikov - 2014 - Annals of Pure and Applied Logic 165 (2):695-723.
The Canonical Topology on Dp-Minimal Fields.Will Johnson - 2018 - Journal of Mathematical Logic 18 (2):1850007.
Dp-Minimality: Basic Facts and Examples.Alfred Dolich, John Goodrick & David Lippel - 2011 - Notre Dame Journal of Formal Logic 52 (3):267-288.
Distal and Non-Distal NIP Theories.Pierre Simon - 2013 - Annals of Pure and Applied Logic 164 (3):294-318.
Pseudo Real Closed Fields, Pseudo P-Adically Closed Fields and NTP2.Samaria Montenegro - 2017 - Annals of Pure and Applied Logic 168 (1):191-232.

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