A Ramsey-type phenomenon in two and three dimensional simplices
Combinatorics
2023-10-02 v1 Logic
Abstract
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 is extremely amenable (a theorem due to Pestov) using general results of Uspenskij on extreme amenability in homeomorphism groups.
Keywords
Cite
@article{arxiv.2309.17274,
title = {A Ramsey-type phenomenon in two and three dimensional simplices},
author = {Sumun Iyer},
journal= {arXiv preprint arXiv:2309.17274},
year = {2023}
}
Comments
16 pages