Coloring equilateral triangles

Fuente: arXiv
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Main Author: Zapletal, Jindrich
Format: Preprint
Published: 2025
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_version_ 1866910890115203072
author Zapletal, Jindrich
author_facet Zapletal, Jindrich
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_18295
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Coloring equilateral triangles
Zapletal, Jindrich
Logic
Combinatorics
03E35, 14P99, 05C15
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.
title Coloring equilateral triangles
topic Logic
Combinatorics
03E35, 14P99, 05C15
url https://arxiv.org/abs/2503.18295