- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 3
- Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces
Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces
Authors : Muhammad Qasim, Bin Pang
Pages : 612-623
Doi:10.15672/hujms.740593
View : 10 | Download : 2
Publication Date : 2021-06-07
Article Type : Research
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.Keywords : $mathcal{V}$-closure space, $mathcal{V}$-topological space, topological category, separation, Hausdorff objects