Odd Distances in Colourings of the Plane

IF 2.4 1区数学 Q1 MATHEMATICS

Geometric and Functional Analysis Pub Date : 2024-01-30 DOI:10.1007/s00039-024-00659-w

James Davies

引用次数: 0

Abstract

We prove that every finite colouring of the plane contains a monochromatic pair of points at an odd distance from each other.

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平面着色中的奇异距离

我们证明，平面的每一种有限着色都包含一对相距奇数的单色点。

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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来源期刊

Geometric and Functional Analysis 数学-数学

CiteScore

3.70

自引率

4.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis. GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016. Publishes major results on topics in geometry and analysis. Features papers which make connections between relevant fields and their applications to other areas.