Valuation conjecture for unstable dp-finite fields

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Let KK be an unstable dp-finite field. The valuation type condition means that the canonical topology on KK is a V-topology.

Valuation conjecture. If KK is an unstable dp-finite field, then KK is valuation type.

This conjecture concerns the canonical topology used in the classification program for dp-finite fields. The source states that it was conjectured in earlier work, but does not establish its resolution here.

References

Primary source

Will Johnson, “Dp-finite fields IV: the rank 2 picture”, arXiv:2003.09130 (2020).

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