On the extension of $SD$ sets by using generalized open sets in bitopological spaces

	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

آمار تعداد مشاهده مقاله: 17,125 تعداد دریافت فایل اصل مقاله: 9,216

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب