Separation Axioms, Urysohn’s Lemma and Tietze Extention Theorem for Extended Pseudo-Quasi-Semi Metric Spaces

Baran T. M., Kula M.

FILOMAT, cilt.36, sa.2, ss.703-713, 2022 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2202703b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.703-713
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, we characterize each of various forms of T0, T1, T2, and pre-Hausdorff extended pseudo-quasi-semi metric spaces as well as examine how these generalizations are related. Moreover, we give some invariance properties of these T0, T1, and T2 extended pseudo-quasi-semi metric spaces and investigate the relationship among each of irreducible Ti , i = 1, 2 extended pseudo-quasi-semi metric spaces. Finally, we present Urysohn’s Lemma and Tietze Extention Theorem for extended pseudo-quasi-semi metric spaces.