Sober spaces
TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.1, ss.299-310, 2022 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 46 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.3906/mat-2109-95
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.299-310
- Anahtar Kelimeler: Topological category, T-0 objects, T-1 objects, sober spaces, irreducible spaces
- Erciyes Üniversitesi Adresli: Evet
Özet
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.