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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, the concepts of T 1 2 -, T1-, normal, almost normal and weakly normal spaces are investigated by using the concepts of gw-closed, sgw-closed and mgw-closed sets in weak structures.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we introduce and characterize the concepts of generalized closed (gw-closed, for short) sets in weak structures which introduced by Császár [3] and we give some properties of these concepts.
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Key Findings & Data:The concept of gw-closed sets (in the sense of Al Omari and Noiri [1]) is a special case of gw-closed sets presented here.
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Conclusion & Impact:Finally, the concepts of T 1 2 -, T1-, normal, almost normal and weakly normal spaces are investigated by using the concepts of gw-closed, sgw-closed and mgw-closed sets in weak structures.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Weak structures · gw-closed sets · T 1 2 -space
Abstract
In this paper, we introduce and characterize the concepts of generalized closed (gw-closed, for short) sets in weak structures which introduced by Császár [3] and we give some properties of these concepts. The concept of gw-closed sets (in the sense of Al Omari and Noiri [1]) is a special case of gw-closed sets presented here. Finally, the concepts of T 1 2 -, T1-, normal, almost normal and weakly normal spaces are investigated by using the concepts of gw-closed, sgw-closed and mgw-closed sets in weak structures.
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Cite This Article
Ghareeb, A., ZAHRAN, A., Mousa, A. K. (2022). Generalized closed sets and some separation axioms on weak structure. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 3, 669–677. https://ajindex.com/articles/530302