A coloring of the plane without monochromatic right triangles

Balázs Bursics; Péter Komjáth

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arXiv · 2302.12215

A coloring of the plane without monochromatic right triangles

Balázs Bursics·Péter Komjáth

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Abstract

We give a full, correct proof of the following result, earlier claimed by Erd\H{o}s and Komj\'ath. If the Continuum Hypothesis holds then there is a coloring of the plane with countably many colors, with no monocolored right triangle.

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Balázs Bursics, Péter Komjáth. 2023-02-23. A coloring of the plane without monochromatic right triangles. https://arxiv.org/abs/2302.12215

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