论文标题
有关欧几里得拉姆西理论的路线的更多信息
More on lines in Euclidean Ramsey theory
论文作者
论文摘要
令$ \ ell_m $为$ m $点的序列，在距离为距离时连续点。回答Fox和第一作者提出的一个问题，并由Arman和Tsaturian独立，我们表明有一个自然的$ M $和一个$ \ Mathbb {e}^n $的红色/蓝色，每个$ n $都不包含$ \ ell_3 $的红色副本，也没有$ \ ell_m的蓝色副本。
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 contains no red copy of $\ell_3$ and no blue copy of $\ell_m$.
