Star versions of Menger basis covering property and Menger measure zero spaces

In this paper, we consider the star version of Menger basis covering property introduced by Menger in 1924. The author obtained relationship between star-selection principles and star versions of Menger basis covering property for metrizable spaces. We also consider star versions of Menger measure zero spaces and characterize these new spaces by star-selection principle related to star-Menger spaces. In this manner, we obtained relationships of star-Menger property with other existing properties in literature.