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Preprint Number 888

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888. Will Johnson
On dp-minimal fields

Submission date: 9 July 2015.


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:

Full text arXiv 1507.02745: pdf, ps.

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