%0 Journal Article
%T On the extension of $SD$ sets by using generalized open sets in bitopological spaces
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Açıkgöz, Necati Can
%A Sultan Elmalı, Ceren
%D 2023
%\ 01/01/2023
%V 14
%N 1
%P 1627-1638
%! On the extension of $SD$ sets by using generalized open sets in bitopological spaces
%K bitopological spaces
%K $ij$-somewhere dense sets
%K generalized open sets
%K hyperconnected space
%R 10.22075/ijnaa.2022.27884.3747
%X 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.
%U https://ijnaa.semnan.ac.ir/article_7026_c4be82d69c08357909d0faf089647267.pdf