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 (specialized to ordered fields) and provide an example limiting its valuation-theoretic conclusions.

中文翻译：

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实际闭合中密集的有序场和可定义的凸面估值

在本文中，我们对实际闭合中密集的有序域类进行了系统的模型和估值理论研究。我们应用这项研究以有序环的语言确定有序字段上可定义的亨塞利估值。根据我们的结果，我们重新检查了 Shelah-Hasson 猜想（专门用于有序场）并提供了一个限制其估值理论结论的示例。