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Quite Complete Real Closed fields

Saharon Shelah
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Abstract

We prove that any ordered field can be extended to one for which every decreasing sequence of bounded closed intervals, of any length, has a nonempty intersection; equivalently, there are no Dedekind cuts with equal cofinality from both sides. Here we strengthen the results from the published version.

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Saharon Shelah. 2001-12-20. Quite Complete Real Closed fields. https://arxiv.org/abs/math/0112212

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