Owings-like theorems for infinitely many colours or finite monochromatic sets

David J. Fernández-Bretón, Eliseo Sarmiento Rosales, Germán Vera

Inspired by Owings's problem, we investigate whether, for a given an Abelian group $G$ and cardinal numbers $\kappa ,\theta$, every colouring $c:G⟶\theta$ yields a subset $X\subseteq…