On some problems of Euclidean Ramsey theory
Combinatorics
2015-07-24 v2 Number Theory
Abstract
In the paper we prove, in particular, that for any measurable coloring of the euclidian plane into two colours there is a monochromatic triangle with some restrictions on the sides. Also we consider similar problems in finite fields settings.
Keywords
Cite
@article{arxiv.1507.02727,
title = {On some problems of Euclidean Ramsey theory},
author = {Ilya D. Shkredov},
journal= {arXiv preprint arXiv:1507.02727},
year = {2015}
}
Comments
10 pages