Infinite-Exponent Partition Relations on Higher Analogues of the Real Line

Lyra A. Gardiner, Jonathan Schilhan, Thilo Weinert

We present a number of results concerning infinite-exponent partition relations on linear orders of the form $⟨{}^{\hat{I}}\pm 2,{<}_{\text{lex}}⟩$ for $\hat{I}\pm$ an ordinal, generalisin…