We prove that it is consistent with GCH (and in fact true in L) that there is a 0-dimensional T2 topological space X of cardinality א3 such that every partition of the triples of X into countably many pieces has a nondiscrete homogeneous set. © 1992.
Juhász, I., & Shelah, S. (1992). On partitioning the triples of a topological space. Topology and Its Applications, 44(1–3), 203–208. https://doi.org/10.1016/0166-8641(92)90095-H