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arXiv:1507.02727 [math.CO]AbstractReferencesReviewsResources

On some problems of Euclidean Ramsey theory

Ilya D. Shkredov

Published 2015-07-09Version 1

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.

Comments: 10 pages
Categories: math.CO, math.NT
Subjects: 05D10, 05B25, 11T24
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