Turkish Journal of Mathematics
Abstract
The goal of this paper is to introduce various forms of sober objects in a topological category and investigate the relationships among these various forms. Moreover, we characterize quasi-sober objects, $T_{0}$ objects and each of various forms of sober objects in some topological categories and give some invariance properties of them. Finally, we compare our results with some well-known results in the category of topological spaces.
DOI
10.3906/mat-2109-95
Keywords
Topological category, $T_{0}$ objects, $T_{1}$ objects, sober spaces, irreducible spaces
First Page
299
Last Page
310
Recommended Citation
BARAN, MEHMET and ABUGHALWA, HASSAN
(2022)
"Sober spaces,"
Turkish Journal of Mathematics: Vol. 46:
No.
1, Article 20.
https://doi.org/10.3906/mat-2109-95
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss1/20
