Submission date: 27 January 2016

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.

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

Keywords and phrases:

Full text arXiv 1601.07313: pdf, ps.