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Dp-minimal valued fields
Published 14 Jul 2015 in math.LO | (1507.03911v1)
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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