The closed ordinal Ramsey number 𝑅^{𝑐𝑙}(𝜔²,3)=𝜔⁶

Abstract

Closed ordinal Ramsey numbers are a topological variant of the classical (ordinal) Ramsey numbers. We compute the exact value of the closed ordinal Ramsey number R c l ( ω 2 , 3 ) = ω 6 R^{cl}(\omega ^2,3) = \omega ^6 .