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Preprint Number 1063

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1063. Franziska Jahnke and Pierre Simon
NIP henselian valued fields

Submission date: 27 June 2016


We show that any theory of tame henselian valued fields is NIP if and only if the theory of its residue field and the theory of its value group are NIP. Moreover, we show that if (K,v) is a henselian valued field of residue characteristic char(Kv)=p for which K^×/(K^×)^p is finite in case p>0, then (K,v) is NIP iff Kv is NIP and v is roughly tame.

Mathematics Subject Classification: 03C45, 12L12

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Full text arXiv 1606.08472: pdf, ps.

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