Strong colorings over partitions

William Chen-Mertens, Menachem Kojman, Juris Steprans

A strong coloring on a cardinal $\kappa$ is a function $f:[\kappa {]}^2\to \kappa$ such that for every $A\subseteq \kappa$ of full size $\kappa$, every color $\gamma <\kappa$ is attained by $f\upharpoonright [A{]}^2$. The…