无单色直角三角形平面的上色

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2023-02-23 DOI:10.1556/012.2023.01537

Bal'azs Bursics, P'eter Komj'ath

引用次数: 0

摘要

我们给出一个完整的、正确的证明，证明前面在[1]中提出的结果。如果连续统假设成立，那么平面就有一种可计数的颜色，没有单色的直角三角形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Coloring of the Plane Without Monochromatic Right Triangles

We give a full, correct proof of the following result, earlier claimed in [1]. 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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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.