More on lines in Euclidean Ramsey theory

Let $\ell _m$ be a sequence of $m$ points on a line with consecutive points at distance one. Answering a question raised by Fox and the first author and independently by Arman and Tsaturian, we show that there is a natural number $m$ and a red/blue-colouring of $\mathbb{E}^n$ for every $n$ that cont...

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Bibliographic Details
Main Authors: Conlon, David, Wu, Yu-Han
Format: Article
Language:English
Published: Académie des sciences 2023-07-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.452/
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