arXiv:1507.03911 Abstract | arXiv Analytics

arXiv:1507.03911 [math.LO]Abstract References Reviews Resources

Dp-minimal valued fields

Franziska Jahnke, Pierre Simon, Erik Walsberg

Published 2015-07-14Version 1

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.

Categories: math.LO

Subjects: 03C45

Keywords: dp-minimal valued fields, dp-minimal ordered abelian groups, non-trivial definable henselian valuation, dp-minimal ordered fields, dp-minimal field

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