$Ψ$ -空间的弱正规性
Weak normality properties in $Ψ$-spaces
摘要：
几乎不相交的真基数族$\mathfrak{c}$用于产生轻度正规非部分正规$Ψ$ -空间和拟正规非几乎正规$Ψ$ -空间的例子。这与Lufti Kalantan提出的一个问题有关，他问是否存在一个疯狂的家庭，使得相关的Mrówka-Isbell空间是部分正规的。此外，一个一致的例子，一个Luzin疯狂的家庭，使其相关的$Ψ$ -空间是准正规的。
英文摘要：
Almost disjoint families of true cardinality $\mathfrak{c}$ are used to produce an example of a mildly-normal not partly-normal $Ψ$-space and a quasi-normal not almost-normal $Ψ$-space. This is related with a problem posed by Lufti Kalantan where he asks whether there exists a mad family so that the related Mrówka-Isbell space is partly-normal. In addition, a consistent example of a Luzin mad family such that its associated $Ψ$-space is quasi-normal is provided.
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。
