对Juhász和Kunen的一篇论文的评论
Remarks on a paper by Juhász and Kunen
摘要：
我们给出了一个等价的，但更简单的公理SEP介绍Juhasz和Kunen制定。我们的公式表明，许多后果的弱自由民族属性的$\mathcal P(ω)$已经遵循SEP。我们表明，这是一致的，SEP举行，而$\mathcal P(ω)$未能有$(\aleph_1,\aleph_0)$ -理想的属性，这已经介绍了哈特和道。这回答了Fuchino和Kunen独立提出的一个问题。我们还考虑了一些自然的变体，SEP和某些变化的定义SEP不会导致不同的原则。这回答了布拉斯提出的一个问题。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
