Suborbits in Knaster's problem
Functional Analysis
2014-09-23 v3 Combinatorics
Abstract
In this paper we exhibit a similarity between Euclidean Ramsey problems and Knaster-type problems. By borrowing ideas from Ramsey theory we prove weak Knaster properties of non-equatorial triangles in spheres, and of simplices in Euclidean spaces.
Cite
@article{arxiv.1212.5351,
title = {Suborbits in Knaster's problem},
author = {Boris Bukh and Roman Karasev},
journal= {arXiv preprint arXiv:1212.5351},
year = {2014}
}
Comments
Minor corrections are made after reviewing in the journal