Characterizing NIP henselian fields
Logic
2024-03-14 v3
Abstract
In this paper, we characterize NIP henselian valued fields modulo the theory of their residue field, both in an algebraic and in a model-theoretic way. Assuming the conjecture that every infinite NIP field is either separably closed, real closed or admits a non-trivial henselian valuation, this allows us to obtain a characterization of all theories of NIP fields.
Keywords
Cite
@article{arxiv.1911.00309,
title = {Characterizing NIP henselian fields},
author = {Sylvy Anscombe and Franziska Jahnke},
journal= {arXiv preprint arXiv:1911.00309},
year = {2024}
}
Comments
18 pages