Partitions of topological spaces and a new club-like principle

Rodrigo Carvalho, Gabriel Fernandes, Lúcia R. Junqueira

We give a new proof of the following theorem due to W. Weiss and P. Komjath: if $X$ is a regular topological space, with character $<\mathfrak{b}$ and $X \rightarrow (top ω+ 1)^{…