On Big Ramsey degrees of universal $\omega$-edge-labeled hypergraphs

Jan Hubička, Matěj Konečný, Stevo Todorcevic +1

We show that the big Ramsey degrees of every countable universal $u$-uniform $\omega$-edge-labeled hypergraph are infinite for every $u\ge 2$. Together with a recent result of Braunfel…