TURKISH JOURNAL OF MATHEMATICS, vol.46, no.1, pp.299-310, 2022 (SCI-Expanded)
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.