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DP-MINIMAL VALUED FIELDS

Published online by Cambridge University Press:  21 March 2017

FRANZISKA JAHNKE ,
PIERRE SIMON  and
ERIK WALSBERG
FRANZISKA JAHNKE
Affiliation:
INSTITUT FÜR MATHEMATISCHE LOGIK UND GRUNDLAGENFORSCHUNG WESTFÄLISCHE WILHELMS-UNIVERSITÄT MÜNSTER EINSTEINSTR. 62, 48149 MÜNSTER GERMANYE-mail: franziska.jahnke@uni-muenster.de
PIERRE SIMON
Affiliation:
CNRS UMR 5208, INSTITUT CAMILLE JORDAN UNIV LYON, UNIVERSITÉ CLAUDE BERNARD LYON 1 43 BLVD. F-69622 VILLEURBANNE CEDEX FRANCEE-mail: simon@math.univ-lyon1.fr
ERIK WALSBERG
Affiliation:
INSTITUTE OF MATHEMATICS THE HEBREW UNIVERSITY OF JERUSALEM GIVAT RAM, JERUSALEM 91904, ISRAELE-mail: erikw@math.ucla.edu
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Abstract

We show that dp-minimal valued fields are henselian and give classifications of dp-minimal ordered abelian groups and dp-minimal ordered fields without additional structure.

Keywords

dp-minimalityvalued fieldsNIP
Type
Articles
Information
The Journal of Symbolic Logic , Volume 82 , Issue 1 , March 2017 , pp. 151 - 165
Copyright
Copyright © The Association for Symbolic Logic 2017 

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References

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