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Mathematics > Logic

Title: A coloring of the plane without monochromatic right triangles

Authors: Balázs Bursics, Péter Komjáth
(Submitted on 23 Feb 2023)
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.
Subjects: Logic (math.LO); Combinatorics (math.CO)
MSC classes: 03E50 (Primary) 51M04, 05D10 (Secondary)
Cite as: arXiv:2302.12215 [math.LO]
  (or arXiv:2302.12215v1 [math.LO] for this version)

Submission history

From: Balázs Bursics [view email]
[v1] Thu, 23 Feb 2023 18:24:16 GMT (6kb)
Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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