Geodesic
Coloring triangles and rectangles
Commentationes Mathematicae Universitatis Carolinae, Tome 64 (2023) no. 1, pp. 83-96.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.14712/1213-7243.2023.020
Classification : 03E35, 05C15, 14P99
Keywords: real algebraic geometry; algebraic hypergraph; chromatic number; geometric set theory; consistency result 
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Zapletal, Jindřich. Coloring triangles and rectangles. Commentationes Mathematicae Universitatis Carolinae, Tome 64 (2023) no. 1, pp. 83-96. doi : 10.14712/1213-7243.2023.020. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2023.020/

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