$\Psi$-Spaces and Semi-Proximality

Khulod Almontashery, Vinicius de Oliveira Rodrigues, Paul J. Szeptycki

We discuss the proximal game and semi-proximality in $\Psi$-spaces of almost disjoint families over an infinite countable set and $\Psi$-spaces of ladder systems on ${\omega }_1$. We show that a…