We consider finite partitions of the closure of an -uniform barrier . For each partition, we get a homogeneous set having both the same combinatorial and topological structure as , seen as a subspace of the Cantor space .
"A Partition Theorem of ." Notre Dame J. Formal Logic 59 (3) 387 - 403, 2018. https://doi.org/10.1215/00294527-2018-0001