English

Triangles and Vitali sets

Logic 2023-10-04 v1

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.

Keywords

Cite

@article{arxiv.2310.01759,
  title  = {Triangles and Vitali sets},
  author = {Jindrich Zapletal},
  journal= {arXiv preprint arXiv:2310.01759},
  year   = {2023}
}
R2 v1 2026-06-28T12:39:03.440Z