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Pairwise compactness in bi-isotonic spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 16، شماره 6، شهریور 2025، صفحه 23-33 اصل مقاله (388.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.32706.4867 | ||
| نویسندگان | ||
| Soley Ersoy* ؛ Seval Koca | ||
| Sakarya University, Faculty of Science, Department of Mathematics, 54050 Sakarya, Turkey | ||
| تاریخ دریافت: 28 آذر 1402، تاریخ بازنگری: 27 دی 1402، تاریخ پذیرش: 17 فروردین 1403 | ||
| چکیده | ||
| In this article, we have introduced the notion of pairwise compactness in bi-isotonic spaces via finite intersection property and pairwise open cover. Moreover, we have given pairwise compactness of bi-isotonic subspaces with both reduced closure and interior functions. We have characterized pairwise compactness by the neighborhood concept; however, the axioms of bi-isotonic spaces are insufficient to prove the theorem, and we have studied this in bi-closure spaces. For similar reasons, occasionally, bi-closure spaces have been considered with additional explanations, even if some concepts related to compactness have been naturally extended to bi-isotonic spaces. Additionally, interesting results have been obtained considering the pairwise Hausdorffness and compactness relationship. It has also been observed that resembling cross-relationships exist for closed subsets of pairwise compact spaces. Finally, it has been observed that the pairwise compactness of bi-closure spaces is preserved under bi-continuity. | ||
| کلیدواژه‌ها | ||
| Pairwise compact؛ pairwise Hausdorff space؛ closure operator؛ bi-isotonic space | ||
| مراجع | ||
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