Henselian valued fields and inp-minimality

Journal of Symbolic Logic 84 (4):1510-1526 (2019)
  Copy   BIBTEX

Abstract

We prove that every ultraproduct of p-adics is inp-minimal. 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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,349

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

A transfer theorem for Henselian valued and ordered fields.Rafel Farré - 1993 - Journal of Symbolic Logic 58 (3):915 - 930.
NIP henselian valued fields.Franziska Jahnke & Pierre Simon - 2020 - Archive for Mathematical Logic 59 (1-2):167-178.
Henselian valued fields: a constructive point of view.Hervé Perdry - 2005 - Mathematical Logic Quarterly 51 (4):400-416.
A version of p-adic minimality.Raf Cluckers & Eva Leenknegt - 2012 - Journal of Symbolic Logic 77 (2):621-630.
Cell decomposition for P‐minimal fields.Marie-Hélène Mourgues - 2009 - Mathematical Logic Quarterly 55 (5):487-492.
B-minimality.Raf Cluckers & François Loeser - 2007 - Journal of Mathematical Logic 7 (2):195-227.
Abelian C-minimal groups.Patrick Simonetta - 2001 - Annals of Pure and Applied Logic 110 (1-3):1-22.
Extensions Separees et Immediates de Corps Values.Francoise Delon - 1988 - Journal of Symbolic Logic 53 (2):421-428.
Extensions séparées et immédiates de corps valués.Françoise Delon - 1988 - Journal of Symbolic Logic 53 (2):421-428.
Complete theories of pairs of Henselian valued fields.G. Leloup - 1990 - Journal of Symbolic Logic 55 (1):323-339.

Analytics

Added to PP
2019-08-30

Downloads
10 (#1,160,791)

6 months
5 (#652,053)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Burden in Henselian valued fields.Pierre Touchard - 2023 - Annals of Pure and Applied Logic 174 (10):103318.
Stably embedded submodels of Henselian valued fields.Pierre Touchard - 2023 - Archive for Mathematical Logic 63 (3):279-315.
Burden of Henselian Valued Fields in the Denef–Pas Language.Peter Sinclair - 2022 - Notre Dame Journal of Formal Logic 63 (4):463-480.

Add more citations

References found in this work

No references found.

Add more references