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Preprint Number 888
888. Will Johnson On dp-minimal fields E-mail: Submission date: 9 July 2015. Abstract: We classify dp-minimal pure fields up to elementary equivalence. Most are equivalent to Hahn series fields K((t^Γ)) where Γ satisfies some divisibility conditions and K is F_p^{alg} or a local field of characteristic zero. We show that dp-small fields (including VC-minimal fields) are algebraically closed or real closed. Mathematics Subject Classification: 03C45 Keywords and phrases: |
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