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Preprint Number 892

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892. Franziska Jahnke, Pierre Simon, Erik Walsberg
Dp-minimal valued fields
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Submission date: 14 July 2015.

Abstract:

We show that dp-minimal valued fields are henselian and that a dp-minimal field admitting a definable type V topology is either real closed, algebraically closed or admits a non-trivial definable henselian valuation. We give classifications of dp-minimal ordered abelian groups and dp-minimal ordered fields without additional structure.

Mathematics Subject Classification: 03C45

Keywords and phrases:

Full text arXiv 1507.03911: pdf, ps.


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