Generalised Prisms and Euclidean Ramsey Theory

Maria-Romina Ivan, Imre Leader, Mark Walters

A finite subset $X$ of ${\mathbb{R}}^d$ is called Ramsey if for every $k$ there exists an $n$ such that whenever ${\mathbb{R}}^n$ is $k$-coloured there exists a monochromatic congruent c…