Remarks on a paper by Juhász and Kunen
| dc.creator | Fuchino, Sakae | |
| dc.creator | Geschke, Stefan | |
| dc.date | 2003-09-18 | |
| dc.date.accessioned | 2026-07-07T05:01:15Z | |
| dc.date.available | 2026-07-07T05:01:15Z | |
| dc.description | 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 $\mathcal P(ω)$ already follow from SEP. We show that it is consistent that SEP holds while $\mathcal P(ω)$ fails to have the $(\aleph_1,\aleph_0)$-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. | |
| dc.identifier | https://arxiv.org/abs/math/0309297 | |
| dc.identifier | http://arxiv.org/abs/math/0309297 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68606 | |
| dc.subject | Logic | |
| dc.subject | 03E35; 03E05; 03E17; 03E65 | |
| dc.title | Remarks on a paper by Juhász and Kunen | |
| dc.type | text |