论文标题
强烈咬几乎真实的封闭场
Strongly NIP almost real closed fields
论文作者
论文摘要
以下猜想是由于Shelah-Hasson造成的：任何无限的nip场都是真正的封闭，代数封闭的，或者以戒指的语言接纳了非平淡无奇的Henselian估值。我们将这种猜想的专业用于有序环的语言，这导致了对强烈咬合几乎真实封闭领域的系统进行系统的研究。结果，我们获得了此类的完整表征。
The following conjecture is due to Shelah-Hasson: Any infinite strongly NIP field is either real closed, algebraically closed, or admits a non-trivial definable henselian valuation, in the language of rings. We specialise this conjecture to ordered fields in the language of ordered rings, which leads towards a systematic study of the class of strongly NIP almost real closed fields. As a result, we obtain a complete characterisation of this class.
