Separation, connectedness, and disconnectedness

Creative Commons License

BARAN M.

Turkish Journal of Mathematics, cilt.47, sa.1, ss.279-295, 2023 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3360
  • 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.279-295
  • Anahtar Kelimeler: Closure operator, T2 spaces, connected spaces, hereditarily disconnected spaces, totally disconnected spaces
  • Erciyes Üniversitesi Adresli: Evet

Özet

© TÜBİTAKThe aim of this paper is to introduce the notions of hereditarily disconnected and totally disconnected objects in a topological category and examine the relationship as well as interrelationships between them. Moreover, we characterize each of T2, connected, hereditarily disconnected, and totally disconnected objects in some topological categories and compare our results with the ones in the category of topological spaces.