论文标题
一个不解释无限领域但Shelah完成的P-ADIC结构
A P-adic structure which does not interpret an infinite field but whose Shelah completion does
论文作者
论文摘要
我们给出了一个结构的$ p $ - adic示例，其shelah完成解释$ \ mathbb {q} _p $，但没有（提供极为合理的猜想）解释一个无限字段。在最后一部分中，我们讨论了此类示例的重要性，即$ \ mathrm {nip} $结构的未来几何理论。
We give a $p$-adic example of a structure whose Shelah completion interprets $\mathbb{Q}_p$ but which does not (provided an extremely plausible conjecture holds) interpret an infinite field. In the final section we discuss the significance of such examples for a possible future geometric theory of $\mathrm{NIP}$ structures.
