Remarks on a paper by Juh\'asz and Kunen
Logic
2007-05-23 v1
Abstract
We give an equivalent, but simpler formulation of the axiom SEP introduced by Juhasz and Kunen. Our formulation shows that many of the consequences of the weak Freese-Nation Property of already follow from SEP. We show that it is consistent that SEP holds while fails to have the -ideal property, which has been introduced by Hart and Dow . This answers a question addressed independently by Fuchino and by Kunen. We also consider some natural variants of SEP and show that certain changes in the definition of SEP do not lead to a different principle. This answers a question addressed by Blass.
Cite
@article{arxiv.math/0309297,
title = {Remarks on a paper by Juh\'asz and Kunen},
author = {Sakae Fuchino and Stefan Geschke},
journal= {arXiv preprint arXiv:math/0309297},
year = {2007}
}