HENSELIAN VALUED FIELDS AND inp-MINIMALITY

Type: Article

Publication Date: 2019-08-29

Citations: 9

DOI: https://doi.org/10.1017/jsl.2019.56

Abstract

Abstract We prove that every ultraproduct of p -adics is inp-minimal (i.e., of burden 1). More generally, we prove an Ax-Kochen type result on preservation of inp-minimality for Henselian valued fields of equicharacteristic 0 in the RV language.

Locations

  • Journal of Symbolic Logic - View
  • eScholarship (California Digital Library) - View - PDF
  • arXiv (Cornell University) - View - PDF
  • HAL (Le Centre pour la Communication Scientifique Directe) - View

Similar Works

Action Title Year Authors
+ PDF Chat Henselian valued fields and inp-minimality 2016 Artem Chernikov
Pierre Simon
+ Henselian valued fields and inp-minimality 2016 Artem Chernikov
Pierre Simon
+ Henselianity in the language of rings 2015 Sylvy Anscombe
Franziska Jahnke
+ Henselianity in the language of rings 2015 Sylvy Anscombe
Franziska Jahnke
+ Henselianity in the language of rings 2018 Sylvy Anscombe
Franziska Jahnke
+ PDF Chat A criterion for p-henselianity in characteristic p 2015 Zoé Chatzidakis
M.T.M. Perera
+ Extension bases in Henselian valued fields 2022 Akash Hossain
+ The domination monoid in henselian valued fields 2021 Martin Hils
Rosario Mennuni
+ Residue field domination in henselian valued fields of equicharacteristic zero 2021 Mariana VicarĂ­a
+ PDF Chat The Henselian closures of a PpC field 1991 Wulf-Dieter Geyer
Moshe Jarden
+ Burden in Henselian Valued Fields 2018 Pierre Touchard
+ Ax-Kochen-Ershov principles for finitely ramified henselian fields 2023 Sylvy Anscombe
Philip Dittmann
Franziska Jahnke
+ Distality in valued fields and related structures 2022 Matthias Aschenbrenner
Artem Chernikov
Allen Gehret
Martin Ziegler
+ p-Henselian fields 1995 Jochen Koenigsmann
+ Some results of geometry in Hensel minimal structures 2021 Krzysztof Jan Nowak
+ Un principe d’Ax–Kochen–Ershov imaginaire 2024 Martin Hils
Silvain Rideau
+ A version of <i>p</i>-adic minimality 2012 Raf Cluckers
Eva Leenknegt
+ PDF Chat Transfer Principles in Henselian Valued Fields 2021 Pierre Touchard
+ PDF Chat Axiomatic characterization of fields by the product formula for valuations 2006 Michael Rosen
+ PDF Chat The existential theory of equicharacteristic henselian valued fields 2016 Sylvy Anscombe
Arno Fehm