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A Ramsey-type phenomenon in two and three dimensional simplices by Iyer, Sumun is a scholarly article available to read on EtoBox.

What is A Ramsey-type phenomenon in two and three dimensional simplices about?

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.

Author

Iyer, Sumun

Published

2023

Language

EN