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

Year 2021, Volume: 50 Issue: 3, 612 - 623, 07.06.2021

Muhammad Qasim Bin Pang

https://doi.org/10.15672/hujms.740593

Cited By: 3

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

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