$\mathfrak{c}$-many types of a $\Psi$-space

Hector Alonzo Barriga-Acosta, Fernando Hernández-Hernández

We show that for any cardinal $\omega <\kappa \le \mathfrak{c}$ with $cf(\kappa )>\omega$, there are $\mathfrak{c}$ many AD families whose $\Psi$-spaces are pairwise non-homeomorphic and they can be Luzi…