Infinite monochromatic sumsets for colourings of the reals

Péter Komjáth, Imre Leader, Paul A. Russell +3

N. Hindman, I. Leader and D. Strauss proved that it is consistent that there is a finite colouring of $\mathbb{R}$ so that no infinite sumset $X+X=\{x+y:x,y\in X\}$ is monochromatic…