فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we introduce and study $ij$-somewhere dense sets in bitopological spaces. We present $ij$-somewhere density properties by using some generalized open sets which are used for generalizing the operators of interior, closure and boundary. In this manner, we also investigate several properties of $ij$-somewhere dense sets and present several examples for the main results. We also introduce $\omega$-hyperconnectedness as an extension of hyperconnectedness by using $ij$-somewhere dense sets. We later present some separation axioms based on these types of sets.