Weak normality properties in -spaces
Tom 258 / 2022
Fundamenta Mathematicae 258 (2022), 137-151
MSC: Primary 54D15; Secondary 54G20.
DOI: 10.4064/fm935-11-2021
Opublikowany online: 11 April 2022
Streszczenie
Almost disjoint families of true cardinality \mathfrak c are used to produce an example of a mildly-normal non-partly-normal \Psi -space and a quasi-normal non-almost-normal \Psi -space. This is related to a problem, posed by Kalantan (2017), whether there exists a mad family such that the related Mrówka–Isbell space is partly-normal. In addition, a consistent example of a Luzin mad family such that its associated \Psi -space is quasi-normal is provided.
