Coloring triangles and rectangles
Logic
2022-04-14 v2
Abstract
It is consistent that ZF+DC holds, the hypergraph of rectangles on a given Euclidean space has countable chromatic number, while the hypergraph of equilateral triangles in two-dimensional Euclidean space does not.
Cite
@article{arxiv.2108.09845,
title = {Coloring triangles and rectangles},
author = {Jindrich Zapletal},
journal= {arXiv preprint arXiv:2108.09845},
year = {2022}
}