Topological partition relations for countable ordinals
Diana Ojeda-Aristizabal, William Weiss · Fundamenta Mathematicae · 2018
Using families of finite sets to represent countable ordinals, we find, for each $k\geq 2$ and each $m$ with $4\leq m\leq 2k+5\binom{k}{2}$, the least ordinal $\gamma$ such that for every $l$ we have $\gamma\xrightarrow[\rm top]{} (\omega\cdot 2+1)^2_{l,m