The conjecture that infinite NIP fields are separably closed, real closed or henselian

Let KK be an infinite NIP field. NIP-field conjecture. Then KK is separably closed, real closed, or admits a non-trivial henselian valuation. This conjecture generalizes the Stable Fields Conjecture and would reduce the study of NIP fields to separably closed fields, real closed fields, and henselian fields; its status is not specified in the source.

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Primary source

Sylvy Anscombe and Franziska Jahnke, “Characterizing NIP henselian fields”, arXiv:1911.00309 (2023).

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