On the chromatic number of 2-dimensional spheres

Autor:	Cherkashin, Danila, Voronov, Vsevolod
Rok vydání:	2022
Předmět:	Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	In 1976 Simmons conjectured that every coloring of a 2-dimensional sphere of radius strictly greater than $1/2$ in three colors has a couple of monochromatic points at the distance 1 apart. We prove this conjecture. Comment: 8p
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.08666 Zobrazit plný text záznamu View this record from Arxiv