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2021 | 152 | 111-125

Article title

Axioms of Countability Via Preopen Sets


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We used the concept of preopen sets to introduce a particular form of the μ-countability axioms; namely pre-countability axioms, this class of axioms includes; pre-separable spaces, pre-first countable spaces and pre-second countable spaces. In this article, we study the topological properties of these spaces, as the hereditary property and their images by some particular functions; moreover we investigate the behavior of pre-countability axioms in some special spaces as; submaximal spaces, regular spaces and partition spaces.






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  • Department of Mathematics, Tripoli University, Tripoli, Libya
  • Department of Mathematics, Tripoli University, Tripoli, Libya


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