A First Countable T1 Topology as related to Statistical Metric Spaces
Yıl: 2023 Cilt: 28 Sayı: 1 Sayfa Aralığı: 285 - 289 Metin Dili: İngilizce DOI: 10.53433/yyufbed.1168520 İndeks Tarihi: 16-05-2023
A First Countable T1 Topology as related to Statistical Metric Spaces
Öz: In this paper, we study the conditions under which one can obtain a first countable and 𝑇1 topology without the left-continuity and symmetry, which have an important role in the statistical metric space theory.
Anahtar Kelime: İstatistiksel Metrik Uzaylarla ilgili Birinci Sayılabilir T1 Topolojisi
Öz: Bu çalışmada, istatiksel metrik uzay teorisinde önemli bir rolü olan soldan süreklilik ve simetri koşulları olmadan, hangi koşullar altında, birinci sayılabilir ve 𝑇1 olan bir topoloji elde edilebildiği incelenmiştir.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Bilgin, A. (2021). Olasılıksal metrik uzaylar ile kuazi-düzgün uzaylar arasındaki bazı ilişkiler. (MS), Istanbul University, Institute of Science Istanbul, Turkey.
- Császár, Á. (1960). Fondements de la Topologie Générale. Budapest, Hungary: Akadémiai Kiadó.
- Fletcher, P. & William F. L. (1982). Lecture notes in pure and applied mathematics quasi-uniform Spaces. New York, USA: CRC Press. doi:10.1201/9780203741443
- Kelley, J. L. (1975). General Topology. New York, USA: Springer-Verlag.
- Krishnan, V. S. (1955). A note on semi-uniform spaces. Journal of Madras University Section B, 25, 123-124.
- Menger, K. (1942). Statistical metrics. Proceedings of the National Academy of Sciences, 28(12), 535-537. doi:10.1073/pnas.28.12.535
- Pervin W.J., (1962). Quasi-uniformization of topological Spaces. Mathematische Annalen, 147, 316-317.
- Schweizer, B. & Sklar, A. (1960). Statistical metric spaces. Pacific Journal of Mathematics, 10(4), 313-334.
- Schweizer, B., Sklar, A., & Thorp, E. (1960). The metrization of statistical metric spaces. Pacific Journal of Mathematics, 10(4), 673 - 675.
- Schweizer, B., & Sklar, A. (1983). Probabilistic Metric Spaces. New York, USA: Elsevier Science Publishing Co., Inc.
- Shi-sheng, Z. (1988). Basic theory and applications of probabilistic metric spaces (I). Applied Mathematics and Mechanics, 9, 123–133. doi:10.1007/BF02456008
| APA | Duru H, ilter s, BİLGİN A (2023). A First Countable T1 Topology as related to Statistical Metric Spaces. , 285 - 289. 10.53433/yyufbed.1168520 |
| Chicago | Duru Hülya,ilter serkan,BİLGİN Aygül A First Countable T1 Topology as related to Statistical Metric Spaces. (2023): 285 - 289. 10.53433/yyufbed.1168520 |
| MLA | Duru Hülya,ilter serkan,BİLGİN Aygül A First Countable T1 Topology as related to Statistical Metric Spaces. , 2023, ss.285 - 289. 10.53433/yyufbed.1168520 |
| AMA | Duru H,ilter s,BİLGİN A A First Countable T1 Topology as related to Statistical Metric Spaces. . 2023; 285 - 289. 10.53433/yyufbed.1168520 |
| Vancouver | Duru H,ilter s,BİLGİN A A First Countable T1 Topology as related to Statistical Metric Spaces. . 2023; 285 - 289. 10.53433/yyufbed.1168520 |
| IEEE | Duru H,ilter s,BİLGİN A "A First Countable T1 Topology as related to Statistical Metric Spaces." , ss.285 - 289, 2023. 10.53433/yyufbed.1168520 |
| ISNAD | Duru, Hülya vd. "A First Countable T1 Topology as related to Statistical Metric Spaces". (2023), 285-289. https://doi.org/10.53433/yyufbed.1168520 |
| APA | Duru H, ilter s, BİLGİN A (2023). A First Countable T1 Topology as related to Statistical Metric Spaces. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 28(1), 285 - 289. 10.53433/yyufbed.1168520 |
| Chicago | Duru Hülya,ilter serkan,BİLGİN Aygül A First Countable T1 Topology as related to Statistical Metric Spaces. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 28, no.1 (2023): 285 - 289. 10.53433/yyufbed.1168520 |
| MLA | Duru Hülya,ilter serkan,BİLGİN Aygül A First Countable T1 Topology as related to Statistical Metric Spaces. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.28, no.1, 2023, ss.285 - 289. 10.53433/yyufbed.1168520 |
| AMA | Duru H,ilter s,BİLGİN A A First Countable T1 Topology as related to Statistical Metric Spaces. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2023; 28(1): 285 - 289. 10.53433/yyufbed.1168520 |
| Vancouver | Duru H,ilter s,BİLGİN A A First Countable T1 Topology as related to Statistical Metric Spaces. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2023; 28(1): 285 - 289. 10.53433/yyufbed.1168520 |
| IEEE | Duru H,ilter s,BİLGİN A "A First Countable T1 Topology as related to Statistical Metric Spaces." Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 28, ss.285 - 289, 2023. 10.53433/yyufbed.1168520 |
| ISNAD | Duru, Hülya vd. "A First Countable T1 Topology as related to Statistical Metric Spaces". Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 28/1 (2023), 285-289. https://doi.org/10.53433/yyufbed.1168520 |
