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

Authors : Muhammad QASİM, Bin PANG

Pages : 612-623

Doi:10.15672/hujms.740593

View : 19 | Download : 3

Publication Date : 2021-06-07

Article Type : Research Paper

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