2024/06/11 by Conlon, David, Führer, Jakob · 1 citation
#05D10 #52C10 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2406.07718
We show that for every non-spherical set X in 𝔼d, there exists a natural number m and a red/blue-colouring of 𝔼n for every n such that there is no red copy of X and no blue progression of length m with each consecutive point at distance 1. This verifies a conjecture of Wu and the first author.