Separation Axioms, Urysohn’s Lemma and Tietze Extention Theorem for Extended Pseudo-Quasi-Semi Metric Spaces
Filomat, cilt.36, sa.2, ss.703-713, 2022 (SCI-Expanded, Scopus)
- 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
- Anahtar Kelimeler: Topological category, pre-Hausdorff objects, Hausdorff objects, extended pseudo-quasi-semi metric spaces, OBJECTS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kayseri Üniversitesi Adresli: Hayır
Özet
© 2022, University of Nis. All rights reserved.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.