On VC-minimal fields and dp-smallness
Logic
2013-07-31 v1
Abstract
In this paper, we show that VC-minimal ordered fields are real closed. We introduce a notion, strictly between convexly orderable and dp-minimal, that we call dp-small, and show that this is enough to characterize many algebraic theories. For example, dp-small ordered groups are abelian divisible and dp-small ordered fields are real closed.
Cite
@article{arxiv.1307.8004,
title = {On VC-minimal fields and dp-smallness},
author = {Vincent Guingona},
journal= {arXiv preprint arXiv:1307.8004},
year = {2013}
}
Comments
17 pages