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International Journal of Nonlinear Analysis and Applications، جلد ۱۶، شماره ۶، صفحات ۲۳-۳۳
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عنوان انگلیسی Pairwise compactness in bi-isotonic spaces
چکیده انگلیسی مقاله 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.
کلیدواژه‌های انگلیسی مقاله Pairwise compact,pairwise Hausdorff space,closure operator,bi-isotonic space
نویسندگان مقاله Soley Ersoy |
Sakarya University, Faculty of Science, Department of Mathematics, 54050 Sakarya, Turkey

Seval Koca |
Sakarya University, Faculty of Science, Department of Mathematics, 54050 Sakarya, Turkey

نشانی اینترنتی https://ijnaa.semnan.ac.ir/article_8787_39788246f9714f0dfa4274eb57212e10.pdf
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