Hausdorff objects

Creative Commons License

BARAN M.

Hacettepe Journal of Mathematics and Statistics, cilt.54, sa.3, ss.928-938, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.15672/hujms.1442454
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.928-938
  • Anahtar Kelimeler: pre-Hausdorff objects, reciprocal limit spaces, sober spaces, T2 objects, uniform limit spaces
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Erciyes Üniversitesi Adresli: Evet

Özet

In previous papers, several extensions of the T2 separation property in topology to a topological category were compared. The aim of this paper is to develop further results relating to these extensions as well as to solve several open problems. Moreover, we show one of these T2, namely KT2 limit spaces and reciprocal limit spaces are equivalent and every KT2 limit space induces the associated complete uniform limit space. Finally, we compare our results and give some applications.