Triangles and Vitali sets

2023/10/03 by Jindřich Zapletal, Zapletal, Jindrich · 1 citation
Mathematics · #03E35 #05C15 #14P99 #Advanced Topology and Set Theory #FOS: Mathematics #History and Theory of Mathematics #Logic (math.LO) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2310.01759

openalex publication_date 2023/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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