论文标题
$ψ$ - 空间中的弱态性属性
Weak normality properties in $Ψ$-spaces
论文作者
论文摘要
真正的基数$ \ mathfrak {c} $几乎是不相交的家族，用于产生一个轻度正常的示例，而不是部分正常的$ψ$ - 空间和准正常范围，而不是差不多$ψ$ -Space。这与卢夫蒂·卡兰坦（Lufti Kalantan）提出的问题有关，他询问是否存在疯狂的家庭，以便相关的Mrówka-Isbell空间部分是正常的。此外，还提供了一个一致的卢津疯狂家族的示例，以便提供了相关的$ψ$空间是准正常的。
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.
