Henselian valued fields and inp-minimality

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

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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.

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