Corpus ID: 119300626

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

@article{BarrigaAcosta2018mathfrakcmanyTO,
  title={\$\mathfrak\{c\}\$-many types of a \$\Psi\$-space},
  author={Hector Alonzo Barriga-Acosta and Fernando Hern'andez-Hern'andez},
  journal={arXiv: General Topology},
  year={2018}
}
We show that for any cardinal $\omega \omega$, there are $\mathfrak{c}$ many AD families whose $\Psi$-spaces are pairwise non-homeomorphic and they can be Luzin families or branch families of $2^\omega$.