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arXiv · 1601.07313

Henselian valued fields and inp-minimality

Artem Chernikov·Pierre Simon
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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.

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Artem Chernikov, Pierre Simon. 2016-01-27. Henselian valued fields and inp-minimality. https://arxiv.org/abs/1601.07313

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