Quasi-normality of Mrowka spaces

Authors

  • Ibtesam Eid AlShammari University of Hafr Albatin
  • Lutfi Kalantan

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i3.3770

Keywords:

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

Abstract

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

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Published

2020-07-31

Issue

Section

Nonlinear Analysis

How to Cite

Quasi-normality of Mrowka spaces. (2020). European Journal of Pure and Applied Mathematics, 13(3), 697-700. https://doi.org/10.29020/nybg.ejpam.v13i3.3770

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