A coloring of the plane without monochromatic right triangles

A coloring of the plane without monochromatic right triangles

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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Bibliographische Detailangaben
Hauptverfasser: Bursics, Balázs, Komjáth, Péter
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
Mathematics - Logic
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Beschreibung
Zusammenfassung: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.
DOI:10.48550/arxiv.2302.12215