More on lines in Euclidean Ramsey theory
Published in Comptes Rendus. Mathématique, 2022
Let l_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 En for every n that contains no red copy of l_3 and no blue copy of l_m.
Recommended citation: Conlon, D., & Wu, Y. H. (2023). More on lines in Euclidean Ramsey theory. Comptes Rendus. Mathématique, 361(G5), 897-901.
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