- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 1
- $\beta$-Menger and $\beta$-Hurewicz spaces
$\beta$-Menger and $\beta$-Hurewicz spaces
Authors : Memet Kule
Pages : 1-7
Doi:10.15672/hujms.911145
View : 10 | Download : 5
Publication Date : 2022-02-14
Article Type : Research
Abstract :Recently, some papers on weaker forms of classical covering properties of Hurewicz and Menger have been published. In this paper, using the covers formed by $\beta $-open sets, we introduce and study the properties of $\beta $-Menger and $\beta $-Hurewicz topological spaces. We give counterexamples that show the interrelations between those properties. The subject of our investigation is also the preservation of $\beta $-Menger and $\beta $-Hurewicz properties under subspaces, products, and mappings.Keywords : β-open set, β-Menger space, β-Hurewicz space