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<p>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.</p>

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Triangles and Vitali Sets

  • 期刊论文

  • 发表日期：

    2025年10月2日

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  • Jindřich Zapletal

摘要

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.