Dp-minimal valued fields
classification
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keywords
dp-minimalfieldscloseddefinablehenselianorderedvaluedabelian
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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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