$\beta$-Menger and $\beta$-Hurewicz spaces

Authors : Memet KULE

Pages : 1-7

Doi:10.15672/hujms.911145

View : 27 | Download : 12

Publication Date : 2022-02-14

Article Type : Research Paper

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