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Turkish Journal of Mathematics

Article Title

Sober spaces

DOI

10.3906/mat-2109-95

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.

First Page

299

Last Page

310

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