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