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arXiv · 1212.6842

A valuation theoretic characterization of recursively saturated real closed fields

Paola D'Aquino·Salma Kuhlmann·Karen Lange
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Abstract

We give a valuation theoretic characterization for a real closed field to be recursively saturated. Our result extends the characterization of Harnik and Ressayre \cite{hr} for a divisible ordered abelian group to be recursively saturated.

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Paola D'Aquino, Salma Kuhlmann, Karen Lange. 2012-12-31. A valuation theoretic characterization of recursively saturated real closed fields. https://arxiv.org/abs/1212.6842

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