arXiv · 2310.01759
It is consistent relative to an inaccessible cardinal that ZF+DC holds, the hypergraph of equilateral triangles in Euclidean plane has countable chromatic number, while there is no Vitali set.
Jindrich Zapletal. 2023-10-03. Triangles and Vitali sets. https://arxiv.org/abs/2310.01759
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