Research Article

T0 convergence-approach spaces

Volume: 69 Number: 1 June 30, 2020
EN

T0 convergence-approach spaces

Abstract

In previous papers, several T₀-objects in set-based topological category have been introduced and compared. In this paper, we give the characterization of general T₀ (resp. T₀, and T₀′) convergence approach spaces as well as show how these notions are linked to each other.

Keywords

Supporting Institution

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Project Number

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Thanks

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References

  1. Adamek, j., Herrlich, H. and Strecker. G. E., Abstract and Concrete Categories, Pure and Applied Mathematics, John Wiley & Sons, New York, 1990.
  2. Baran, M., Separation properties, Indian J. pure appl. Math, 23 (1991), 333--341.
  3. Baran, M. and Altindiş, H., T₀ objects in topological categories, J. Univ. Kuwait (Sci.), 22 (1995), 123--127.
  4. Baran, M., Separation Properties in Topological Categories, Math. Balkanica., 10 (1996), 39--48.
  5. Baran, M. and Altindiş, H., T₂ objects in Topological Categories, Acta Mathematica Hungarica, 71(1-2) (1996), 41--48.
  6. Baran, M., Kula, S. and Erciyes, A., T₀ and T₁ semiuniform convergence spaces, Filomat, 27.4 (2013), 537--546.
  7. Baran, T. M., T₀ and T₁ Pseudo-Quasi-Semi Metric Spaces, Ph.D. Thesis, Erciyes University, 2018.
  8. Brummer, G. C., A categorical study of initiality in Uniform topology, Ph.D. Thesis, University of Cape Town, 1971.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

August 23, 2019

Acceptance Date

January 8, 2020

Published in Issue

Year 2020 Volume: 69 Number: 1

APA
Qasim, M., & Baran, M. (2020). T0 convergence-approach spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 603-612. https://doi.org/10.31801/cfsuasmas.609919
AMA
1.Qasim M, Baran M. T0 convergence-approach spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):603-612. doi:10.31801/cfsuasmas.609919
Chicago
Qasim, Muhammad, and Mehmet Baran. 2020. “T0 Convergence-Approach Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (1): 603-12. https://doi.org/10.31801/cfsuasmas.609919.
EndNote
Qasim M, Baran M (June 1, 2020) T0 convergence-approach spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 603–612.
IEEE
[1]M. Qasim and M. Baran, “T0 convergence-approach spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 603–612, June 2020, doi: 10.31801/cfsuasmas.609919.
ISNAD
Qasim, Muhammad - Baran, Mehmet. “T0 Convergence-Approach Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 1, 2020): 603-612. https://doi.org/10.31801/cfsuasmas.609919.
JAMA
1.Qasim M, Baran M. T0 convergence-approach spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:603–612.
MLA
Qasim, Muhammad, and Mehmet Baran. “T0 Convergence-Approach Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, June 2020, pp. 603-12, doi:10.31801/cfsuasmas.609919.
Vancouver
1.Muhammad Qasim, Mehmet Baran. T0 convergence-approach spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Jun. 1;69(1):603-12. doi:10.31801/cfsuasmas.609919

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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