Jindřich Zapletal
Coloring triangles and rectangles

Comment.Math.Univ.Carolin. 64,1 (2023) 83-96.

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 on \mathbb{R}^2 does not.

Keywords: real algebraic geometry; algebraic hypergraph; chromatic number; geometric set theory; consistency result

DOI: DOI 10.14712/1213-7243.2023.020
AMS Subject Classification: 03E35 14P99 05C15