MathDB3 problems
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Shelah's conjecture on NIP fields and henselian valuations
A NIP field is a field whose first-order theory has the non-independence property. Shelah's conjecture. Any NIP field is either finite, separably closed, real closed, or admits a n…
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Archimedean specialization of Shelah's conjecture for NIP real fields
Archimedean specialization of Shelah's conjecture. Then is real closed.
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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 Stab…