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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 3

Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces

Muhammad Qasim(National University of Sciences and Technology (NUST))0000-0001-9485-8072
Bin Pang(Beijing Institute of Technology)0000-0001-5092-8278
Pages
—
Publication Date
2021-06-07
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The main objectives of this paper are to characterize $\overline{T_{0}}$, $T_{0}$, $T_{1}$ and pre-$\overline{T_{2}}$ objects in the category of quantale-valued closure space as well as to examine their mutual relationship.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In previous papers, several $T_{0}$ and Hausdorff objects in topological categories are introduced and compared.
📊
Key Findings & Data:In previous papers, several $T_{0}$ and Hausdorff objects in topological categories are introduced and compared.
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Conclusion & Impact:The main objectives of this paper are to characterize $\overline{T_{0}}$, $T_{0}$, $T_{1}$ and pre-$\overline{T_{2}}$ objects in the category of quantale-valued closure space as well as to examine their mutual relationship.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\mathcal{V}$-closure space · $\mathcal{V}$-topological space · topological category

Abstract

In previous papers, several $T_{0}$ and Hausdorff objects in topological categories are introduced and compared. The main objectives of this paper are to characterize $\overline{T_{0}}$, $T_{0}$, $T_{1}$ and pre-$\overline{T_{2}}$ objects in the category of quantale-valued closure space as well as to examine their mutual relationship.

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Cite This Article

Qasim, M., Pang, B. (2021). Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 3. https://doi.org/10.15672/hujms.740593

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