@article{f5bf5881-2eaf-4abd-919e-556b26e792e6,
author = {Juan Carlos Martínez},
title = {On PCF spaces which are not Frechet-Urysohn},
journal = {Reports on Mathematical Logic},
volume = {2018},
number = {Number 53},
year = {2018},
issn = {0137-2904},
pages = {67-77},keywords = {PCF space; Sequentiality; Fréchet-Urysohn property},
abstract = {By means of a forcing argument, it was shown by Pereira that if CH holds then there is a separable PCF space of height ω1 + 1 which is not Fréchet-Urysohn. In this paper, we give a direct proof of Pereira’s theorem by means of a forcing-free argument, and we extend his result to PCF spaces of any height δ + 1 where δω2 with cf(δ) = ω1.},
doi = {10.4467/20842589RM.18.004.8837},
url = {https://ejournals.eu/en/journal/reports-on-mathematical-logic/article/on-pcf-spaces-which-are-not-frechet-urysohn}
}