Classification conjecture for strongly NIP ordered fields
Classification conjecture for strongly NIP ordered fields
Let be a strongly NIP ordered field. An ordered field is almost real closed if it admits a henselian valuation whose residue field is real closed.
Classification conjecture. Any strongly NIP ordered field is almost real closed.
The paper states that this conjecture is equivalent to the ordered-field Shelah–Hasson conjecture. The supplied text does not report a proof or refutation, so its resolution remains open here.
Sources & referencesView supporting material
Primary source
Lothar Sebastian Krapp, Salma Kuhlmann and Gabriel Lehéricy, “Strongly NIP almost real closed fields”, arXiv:2010.14770 (2021).
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