English

On dp-minimal ordered structures

Logic 2009-09-24 v1

Abstract

We show some 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.

Keywords

Cite

@article{arxiv.0909.4242,
  title  = {On dp-minimal ordered structures},
  author = {P. Simon},
  journal= {arXiv preprint arXiv:0909.4242},
  year   = {2009}
}
R2 v1 2026-06-21T13:49:36.321Z