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arXiv · 1809.10420

A model with everything except for a well-ordering of the reals

Jörg Brendle·Fabiana Castiblanco·Ralf Schindler·Liuzhen Wu·Liang Yu
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Abstract

We construct a model of $\mathsf{ZF} + \mathsf{DC}$ containing a Luzin set, a Sierpi\'{n}ski set, as well as a Burstin basis but in which there is no a well ordering of the continuum.

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Jörg Brendle, Fabiana Castiblanco, Ralf Schindler, Liuzhen Wu, Liang Yu. 2018-09-27. A model with everything except for a well-ordering of the reals. https://arxiv.org/abs/1809.10420

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