Quasi-normality of Mrowka spaces

Ibtesam Eid AlShammari, Lutfi Kalantan

Abstract

A topological space X is called quasi-normal if X is regular and any two disjoint π-closed subsets A and B of X are separated. We give a Mr ́owka space which is not quasi-normal and use the continuum hypothesis (CH) and truly cardinality c to present Mr ́owka spaces which are quasi-normal.

Keywords

normal, π-normal, mildly normal, quasi-normal, closed domain, πclosed, Mr´owka space, continuum hypothesis (CH), truly cardinality c

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