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}
}
• Published 31 May 2018
• Mathematics
• arXiv: General Topology
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 $2^\omega$.