Infinite-arity partition relation
= Infinite-arity partition relation
{title2=$\kappa\nrightarrow(\omega)^\omega_2$}
A <partition relation> whose colored subsets are infinite. For countably infinite arity, choosing representatives modulo finite <symmetric difference> and coloring its parity shows $\kappa\nrightarrow(\omega)^\omega_2$ for every infinite cardinal $\kappa$.