Valuation-type conjecture for dp-finite fields

A dp-finite field is a field of finite dp-rank, and a dp-finite field has valuation type when it is unstable and its canonical topology is a V-topology.

Valuation-type conjecture. If K\mathbb{K} is a dp-finite field, then K\mathbb{K} is stable or has valuation type.

The source explicitly warns that this conjecture is probably false; because no counterexample or proof is supplied in the given text, its database status remains open.

Sources & referencesView supporting material

Primary source

Will Johnson, “Dp-finite fields II: the canonical topology and its relation to henselianity”, arXiv:1910.05932 (2019).

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