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Preprint Number 996

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996. Artem Chernikov and Pierre Simon
Henselian valued fields and inp-minimality

Submission date: 27 January 2016


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.

Mathematics Subject Classification: 03C45, 03C60, 12L12, 12J25

Keywords and phrases:

Full text arXiv 1601.07313: pdf, ps.

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