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arXiv · 1507.03911

Dp-minimal valued fields

Franziska Jahnke·Pierre Simon·Erik Walsberg
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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.

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Franziska Jahnke, Pierre Simon, Erik Walsberg. 2015-07-14. Dp-minimal valued fields. https://arxiv.org/abs/1507.03911

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