论强 NIP 有序域与可定义凸赋值
逻辑
2019-02-06 v4
摘要
我们研究有序域上哪些 henselian 赋值可在有序环语言中被定义。这导向对其实闭包中稠密的有序域类的系统研究。部分结果与近期关于强 NIP 域中 henselian 赋值可定义性的猜想相关。此外，我们得到了强 NIP 几乎实闭域的完整刻画。
关键词
引用
@article{arxiv.1810.10377,
title = {On Strongly NIP Ordered Fields and Definable Convex Valuations},
author = {Lothar Sebastian Krapp and Salma Kuhlmann and Gabriel Lehéricy},
journal= {arXiv preprint arXiv:1810.10377},
year = {2019}
}
备注
31 pages. In this fourth and final version, we have added Observation 7.3, modified the abstract, reworked the introduction, and corrected grammar as well as typos