The simple fields conjecture
Let be an infinite (super)-simple field. The simple fields conjecture. is a (perfect) PAC field. Duret showed that this conjecture implies the stable fields conjecture, but the source describes it as a long-standing open problem.
References
- Yatir Halevi, Assaf Hasson and Franziska Jahnke, “A Conjectural Classification of Strongly Dependent Fields”, arXiv:1805.03814 (2018).
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