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Dergiler / 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
Sayfa
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Yayın Tarihi
2021-06-07
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez:In previous papers, several $T_{0}$ and Hausdorff objects in topological categories are introduced and compared.
📊
Temel Bulgular & Veri:In previous papers, several $T_{0}$ and Hausdorff objects in topological categories are introduced and compared.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\mathcal{V}$-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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Bu Makaleye Atıf Yap

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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