Jahnke's NIPn henselian expansion conjecture
Jahnke's NIPn henselian expansion conjecture
Let be a field whose pure field theory is NIP, and let be a henselian valuation on . Write for the resulting valued field. Jahnke's NIP henselian expansion conjecture. Then is NIP as a valued field. The source presents this as the Henselian Expansion Conjecture and explains that, combined with Shelah's conjecture, it would imply the NIP Fields Conjecture. Its resolution is not specified.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Blaise Boissonneau, “NIPn CHIPS”, arXiv:2401.04697 (2024).
Additional references
2 papers in this index state this conjecture (2021–2024). The statement above is taken from the most recent of them; the others are arXiv:2108.12678.
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