A Note on a Novel Type of Alster Covering Property in Bitopological Setting

Abstract

In this paper, we introduce a new type of the Alster covering property in bitopological spaces. We investigate its relations with other existing covering properties. By providing counterexamples, we demonstrate that our new property differs from the previously mentioned ones.Additionally, we establish conditions under which these properties are equivalent to the corresponding one. Furthermore, we explore the preservation of this new form of the bitopological Alster covering property. Finally, we analyze the productivity of bitopological nearly Lindel & ouml;fness and bitopological