A Note on Quasi-Metrizable Spaces

Yıl 2024, Cilt: 16 Sayı: 1, 143 – 146, 30.06.2024

https://doi.org/10.47000/tjmcs.1224591

Öz

In a previous paper on quasi-uniformizable spaces related to statistical metric spaces it was determined three conditions to obtain a first countable T1-topology. In this paper, we determine two conditions to define a quasi-metrizable topological space. Namely, we determine the conditions to obtain both a quasi-metric and a quasi-uniform topology coincides with a quasi-metrizable topological space.

Anahtar Kelimeler

uniform space, quasi-uniform space, distribution function, distance function, statistical metric space

Kaynakça

  • Csaszar, A., Fondements de la Topologie Ge´ne´rale, Akade´miai Kiado´, Budapest, 1960.
  • Duru, H., Ilter, S., Bilgin, A., A first countable T1 topology as related to statistical metric spaces, Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, (in press), (2022).
  • Fletcher, P., William F.L., Lecture Notes in Pure and Applied Mathematics Quasi-uniform Spaces, CRC Press, 1982.
  • Kelley, J.L., General Topology, Springer, 1975.
  • Nachbin, L., Sur les espaces uniformes ordonn´es, Comptes Rendus Hebdomadaires des S´eances de l’Aca´emie des Sciences,226(10)(1948), 774–775.
  • Pervin, W.J., Quasi-uniformization of topological spaces, Math. Annalen 147(1962), 316–317.
  • Schweizer, B., Sklar, A., Thorp, E., The metrization of statistical metric spaces, Pacific Journal of Mathematics, 10(1960), 673–675.

Yıl 2024, Cilt: 16 Sayı: 1, 143 – 146, 30.06.2024

https://doi.org/10.47000/tjmcs.1224591

Öz

Kaynakça

  • Csaszar, A., Fondements de la Topologie Ge´ne´rale, Akade´miai Kiado´, Budapest, 1960.
  • Duru, H., Ilter, S., Bilgin, A., A first countable T1 topology as related to statistical metric spaces, Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, (in press), (2022).
  • Fletcher, P., William F.L., Lecture Notes in Pure and Applied Mathematics Quasi-uniform Spaces, CRC Press, 1982.
  • Kelley, J.L., General Topology, Springer, 1975.
  • Nachbin, L., Sur les espaces uniformes ordonn´es, Comptes Rendus Hebdomadaires des S´eances de l’Aca´emie des Sciences,226(10)(1948), 774–775.
  • Pervin, W.J., Quasi-uniformization of topological spaces, Math. Annalen 147(1962), 316–317.
  • Schweizer, B., Sklar, A., Thorp, E., The metrization of statistical metric spaces, Pacific Journal of Mathematics, 10(1960), 673–675.

Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
BölümMakaleler
Yazarlar

Aygül Bilgin HALİÇ ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ 0000-0001-9074-9207 Türkiye

Hülya Duru İSTANBUL ÜNİVERSİTESİ, FEN FAKÜLTESİ 0000-0003-0689-460X Türkiye

Yayımlanma Tarihi30 Haziran 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 16 Sayı: 1

Kaynak Göster

APABilgin, A., & Duru, H. (2024). A Note on Quasi-Metrizable Spaces. Turkish Journal of Mathematics and Computer Science, 16(1), 143-146. https://doi.org/10.47000/tjmcs.1224591
AMABilgin A, Duru H. A Note on Quasi-Metrizable Spaces. TJMCS. Haziran 2024;16(1):143-146. doi:10.47000/tjmcs.1224591
ChicagoBilgin, Aygül, ve Hülya Duru. “A Note on Quasi-Metrizable Spaces”. Turkish Journal of Mathematics and Computer Science 16, sy. 1 (Haziran 2024): 143-46. https://doi.org/10.47000/tjmcs.1224591.
EndNoteBilgin A, Duru H (01 Haziran 2024) A Note on Quasi-Metrizable Spaces. Turkish Journal of Mathematics and Computer Science 16 1 143–146.
IEEEA. Bilgin ve H. Duru, “A Note on Quasi-Metrizable Spaces”, TJMCS, c. 16, sy. 1, ss. 143–146, 2024, doi: 10.47000/tjmcs.1224591.
ISNADBilgin, Aygül – Duru, Hülya. “A Note on Quasi-Metrizable Spaces”. Turkish Journal of Mathematics and Computer Science 16/1 (Haziran 2024), 143-146. https://doi.org/10.47000/tjmcs.1224591.
JAMABilgin A, Duru H. A Note on Quasi-Metrizable Spaces. TJMCS. 2024;16:143–146.
MLABilgin, Aygül ve Hülya Duru. “A Note on Quasi-Metrizable Spaces”. Turkish Journal of Mathematics and Computer Science, c. 16, sy. 1, 2024, ss. 143-6, doi:10.47000/tjmcs.1224591.
VancouverBilgin A, Duru H. A Note on Quasi-Metrizable Spaces. TJMCS. 2024;16(1):143-6.

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