Maximal almost disjoint families and pseudocompactness of hyperspaces

Osvaldo Guzmán, Michael Hrušák, Vinicius de Oliveira Rodrigues +2

We show that all maximal almost disjoint families have pseudocompact Vietoris hyperspace if and only if ${\mathsf{MA}}_{\mathfrak{c}}(\mathcal{P}(\omega )/\mathrm{fin})$ holds. We further stu…