Small Cardinals and the Pseudocompactness of Hyperspaces of Subspaces of $\beta \omega$

Y. F. Ortiz-Castillo, V. O. Rodrigues, A. H. Tomita

We study the relations between a generalization of pseudocompactness, named $(\kappa ,M)$-pseudocompactness, the countably compactness of subspaces of $\beta \omega$ and the pseudocompactness of…