Autor:	Iyer, Sumun
Rok vydání:	2023
Předmět:	Mathematics - Combinatorics Mathematics - Logic
Druh dokumentu:	Working Paper
Popis:	We develop a Ramsey-like theorem for subsets of the two and three-dimensional simplex. A generalization of the combinatorial theorem presented here to all dimensions would produce a new proof that $\textrm{Homeo}_+[0,1]$ is extremely amenable (a theorem due to Pestov) using general results of Uspenskij on extreme amenability in homeomorphism groups. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.17274 Zobrazit plný text záznamu View this record from Arxiv