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On the extension of $SD$ sets by using generalized open sets in bitopological spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 125، دوره 14، شماره 1، فروردین 2023، صفحه 1627-1638 اصل مقاله (477.26 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27884.3747 | ||
| نویسندگان | ||
| Necati Can Açıkgöz* ؛ Ceren Sultan Elmalı | ||
| Department of Mathematics, Erzurum Technical University, Yakutiye, 25050, Turkey | ||
| تاریخ دریافت: 31 تیر 1401، تاریخ بازنگری: 11 مهر 1401، تاریخ پذیرش: 17 مهر 1401 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| bitopological spaces؛ $ij$-somewhere dense sets؛ generalized open sets؛ hyperconnected space | ||
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