Dp-minimal valued fields
Logic
2015-07-15 v1
Abstract
We show that dp-minimal valued fields are henselian and that a dp-minimal field admitting a definable type V topology is either real closed, algebraically closed or admits a non-trivial definable henselian valuation. We give classifications of dp-minimal ordered abelian groups and dp-minimal ordered fields without additional structure.
Keywords
Cite
@article{arxiv.1507.03911,
title = {Dp-minimal valued fields},
author = {Franziska Jahnke and Pierre Simon and Erik Walsberg},
journal= {arXiv preprint arXiv:1507.03911},
year = {2015}
}