Sober spaces

BARAN M., Abughalwa H.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.1, ss.299-310, 2022 (SCI-Expanded) identifier identifier identifier

  • 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, SEPARATION
  • 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.