The conjecture that infinite NIP fields are separably closed, real closed or henselian
The conjecture that infinite NIP fields are separably closed, real closed or henselian
Let be an infinite NIP field. NIP-field conjecture. Then 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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