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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, we investigate the relationship among these subcategories.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we define two notions of closure in the category of constant filter convergence spaces which satisfy productivity, idempotency, and hereditariness.
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Key Findings & Data:Moreover, by using these closure operators, we characterize each of $T_{i}$ constant filter convergence spaces, $i=0,1,2$ and show that each of these subcategories consisting of $T_{i}$ constant filter convergence spaces, $i=0,1,2$, are epireflective.
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Conclusion & Impact:Finally, we investigate the relationship among these subcategories.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Topological category · closure operator · constant filter convergence spaces
Abstract
In this paper, we define two notions of closure in the category of constant filter convergence spaces which satisfy productivity, idempotency, and hereditariness. Moreover, by using these closure operators, we characterize each of $T_{i}$ constant filter convergence spaces, $i=0,1,2$ and show that each of these subcategories consisting of $T_{i}$ constant filter convergence spaces, $i=0,1,2$, are epireflective. Finally, we investigate the relationship among these subcategories.
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Cite This Article
ERCİYES, A., BARAN, T. M., QASİM, M. (2020). Closure Operators in Constant Filter Convergence Spaces. Konuralp Journal of Mathematics, Cilt: 8 - Sayı: 1, 185–191. https://ajindex.com/articles/786471