论文标题

在其真正的关闭和可确定的凸估价中,有序的字段密集

Ordered fields dense in their real closure and definable convex valuations

论文作者

Krapp, Lothar Sebastian, Kuhlmann, Salma, Lehéricy, Gabriel

论文摘要

在本文中,我们对有序领域的类别进行了系统的模型和估值理论研究,这些阶层的真正关闭是密集的。我们将这项研究应用于有序戒指的语言,以确定对有序字段的可确定的估值。鉴于我们的结果,我们重新检查了Shelah-Hasson的猜想(专门针对有序领域),并提供了一个限制其评估理论结论的例子。

In this paper, we undertake a systematic model and valuation theoretic study of the class of ordered fields which are dense in their real closure. We apply this study to determine definable henselian valuations on ordered fields, in the language of ordered rings. In light of our results, we re-examine the Shelah-Hasson Conjecture (specialised to ordered fields) and provide an example limiting its valuation theoretic conclusions.

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