Spherically complete models of Hensel minimal valued fields
Logic
2024-01-19 v2
Abstract
We prove that Hensel minimal expansions of finitely ramified Henselian valued fields admit spherically complete immediate elementary extensions. More precisely, the version of Hensel minimality we use is -hmix-minimality (which, in equi-characteristic , amounts to -h-minimality).
Keywords
Cite
@article{arxiv.2109.08619,
title = {Spherically complete models of Hensel minimal valued fields},
author = {David Bradley-Williams and Immanuel Halupczok},
journal= {arXiv preprint arXiv:2109.08619},
year = {2024}
}
Comments
11 pages; Remark 3.2 added; Revised and expanded Introduction and Related Questions