Sober spaces

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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
  • Kayseri Üniversitesi Adresli: Hayır

Özet

© TÜBİTAKThe 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, T0 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.