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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 3

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

Muhammad QASIM
Bin PANG
Sayfa
612–623
Yayın Tarihi
2022-10-18
DOI
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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.
💡
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:Araştırma Makalesi
📍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. (2022). Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 3, 612–623. https://ajindex.com/articles/529500

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