Coloring equilateral triangles
Logic
2025-03-25 v1 Combinatorics
Abstract
It is consistent relative to an inaccessible cardinal that ZF+DC holds, the hypergraph of equilateral triangles on a given Euclidean space has countable chromatic number, while the hypergraph of isosceles triangles in the plane does not.
Cite
@article{arxiv.2503.18295,
title = {Coloring equilateral triangles},
author = {Jindrich Zapletal},
journal= {arXiv preprint arXiv:2503.18295},
year = {2025}
}