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.
Açıkgöz,N C and Sultan Elmalı,C . (2023). On the extension of $SD$ sets by using generalized open sets in bitopological spaces. International Journal of Nonlinear Analysis and Applications, 14(1), 1627-1638. doi: 10.22075/ijnaa.2022.27884.3747
MLA
Açıkgöz,N C , and Sultan Elmalı,C . "On the extension of $SD$ sets by using generalized open sets in bitopological spaces", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1627-1638. doi: 10.22075/ijnaa.2022.27884.3747
HARVARD
Açıkgöz N C, Sultan Elmalı C. (2023). 'On the extension of $SD$ sets by using generalized open sets in bitopological spaces', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1627-1638. doi: 10.22075/ijnaa.2022.27884.3747
CHICAGO
N C Açıkgöz and C Sultan Elmalı, "On the extension of $SD$ sets by using generalized open sets in bitopological spaces," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1627-1638, doi: 10.22075/ijnaa.2022.27884.3747
VANCOUVER
Açıkgöz N C, Sultan Elmalı C. On the extension of $SD$ sets by using generalized open sets in bitopological spaces. IJNAA. 2023;14(1):1627-1638. doi: 10.22075/ijnaa.2022.27884.3747
International Journal of Nonlinear Analysis and Applications