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arXiv:1601.07313 [math.LO]AbstractReferencesReviewsResources

Henselian valued fields and inp-minimality

Artem Chernikov, Pierre Simon

Published 2016-01-27Version 1

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.

Comments: 13 pages
Categories: math.LO, math.AC
Subjects: 03C45, 03C60, 12L12, 12J25
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