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arxiv: 1507.02745 · v1 · pith:4QPECSI6new · submitted 2015-07-09 · 🧮 math.LO

On dp-minimal fields

Will Johnson This is my paper
classification 🧮 math.LO
keywords fieldscloseddp-minimalgammaalgebraicallycharacteristicclassifyconditions
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We classify dp-minimal pure fields up to elementary equivalence. Most are equivalent to Hahn series fields $K((t^\Gamma))$ where $\Gamma$ satisfies some divisibility conditions and $K$ is $\mathbb{F}_p^{alg}$ or a local field of characteristic zero. We show that dp-small fields (including VC-minimal fields) are algebraically closed or real closed.

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