Infinite closed monochromatic subsets of a metric space
Metric Geometry
2015-08-11 v1 Combinatorics
Abstract
Given a coloring of the k-element subsets of an uncountable separable metric space, we show that there exists an infinite monochromatic subset which contains its limit point.
Cite
@article{arxiv.1508.02366,
title = {Infinite closed monochromatic subsets of a metric space},
author = {Shai Rosenberg},
journal= {arXiv preprint arXiv:1508.02366},
year = {2015}
}