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arXiv · 2201.00275

Coloring the distance graphs

Jindrich Zapletal
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Abstract

Let n>0 be a number. Let Gn be the graph on n-dimensional Euclidean space connecting points of rational distance. It is consistent with the choiceless theory ZF+DC that Gn has countable chromatic number yet Gn+1 does not.

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Jindrich Zapletal. 2022-01-02. Coloring the distance graphs. https://arxiv.org/abs/2201.00275

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