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HENSELIAN VALUED FIELDS AND inp-MINIMALITY

Published online by Cambridge University Press:  29 August 2019

ARTEM CHERNIKOV  and
PIERRE SIMON
ARTEM CHERNIKOV
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF CALIFORNIA LOS ANGELES LOS ANGELES, CA90095-1555, USA E-mail: chernikov@math.ucla.edu
PIERRE SIMON
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF CALIFORNIA, BERKELEY BERKELEY, CA94720-3840, USA E-mail: simon@math.berkeley.edu
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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.

Keywords

03C4503C6012L1212J25valued fieldshenselianityinp-minimalityNTP2
Type
Articles
Information
The Journal of Symbolic Logic , Volume 84 , Issue 4 , December 2019 , pp. 1510 - 1526
Copyright
Copyright © The Association for Symbolic Logic 2019 

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