$\hat{I}¨$-Spaces and Semi-Proximality

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

We discuss the proximal game and semi-proximality in $\hat{I}¨$-spaces of almost disjoint families over an infinite countable set and $\hat{I}¨$-spaces of ladder systems on $\ddot{I}{‰}_1$. We show tha…