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α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness

Year 2017, Volume: 66 Issue: 1, 43 - 50, 01.02.2017
https://doi.org/10.1501/Commua1_0000000773
https://izlik.org/JA64MB63JY

Abstract

The aim of the present paper is to introduce the concept of α-ℽ
compactness by means of -operation defined on the family of α-open sets of
a topological space. We define the α-ℽconvergence,α-ℽaccumulation points
of a filterbase and give some of their properties. Some characterizations and
properties of α-ℽ-compact spaces are obtained.

References

  • A. B. Khalaf, Saeid Jafari and H. Z. Ibrahim, Bioperations on open sets in topological spaces, International Journal of Pure and Applied Mathematics, 103 (4) (2015), 653-666.
  • A. B. Khalaf and H. Z. Ibrahim, Some operations de…ned on subspaces via open sets, (Sub- mitted).
  • A. B. Khalaf and H. Z. Ibrahim, Some properties of operations on Journal of Mathematics and Soft Computing, 6 (1) (2016), 107-120. O(X), International
  • A. B. Khalaf, A. K. Kaymakci and H. Z. Ibrahim, Operation-separation axioms via -open sets, (Submitted).
  • O. Njastad, On some classes of nearly open sets, Paci…c J. Math. 15 (1965), 961-970.
  • H. Z. Ibrahim, On a class of 35 (3) (2013), 539-545.
  • D. Jangkovic , I. J. Reilly and M. K. Vamanamurthy , On strongly compact topological spaces, Question and answer in General Topology, 6 (1) (1988).
  • S. F. Tadros and A. B. Khalaf, On X-closed spaces, J. of the College of Education, Salahaddin Univ., 1989. Current address : Alias B. Khalaf: Department of Mathematics, Faculty of Science, University
  • of Duhok, Iraq. E-mail address : aliasbkhalaf@gmail.com Current address : Hariwan Z. Ibrahim: Department of Mathematics, Faculty of Science, Uni

Year 2017, Volume: 66 Issue: 1, 43 - 50, 01.02.2017
https://doi.org/10.1501/Commua1_0000000773
https://izlik.org/JA64MB63JY

Abstract

References

  • A. B. Khalaf, Saeid Jafari and H. Z. Ibrahim, Bioperations on open sets in topological spaces, International Journal of Pure and Applied Mathematics, 103 (4) (2015), 653-666.
  • A. B. Khalaf and H. Z. Ibrahim, Some operations de…ned on subspaces via open sets, (Sub- mitted).
  • A. B. Khalaf and H. Z. Ibrahim, Some properties of operations on Journal of Mathematics and Soft Computing, 6 (1) (2016), 107-120. O(X), International
  • A. B. Khalaf, A. K. Kaymakci and H. Z. Ibrahim, Operation-separation axioms via -open sets, (Submitted).
  • O. Njastad, On some classes of nearly open sets, Paci…c J. Math. 15 (1965), 961-970.
  • H. Z. Ibrahim, On a class of 35 (3) (2013), 539-545.
  • D. Jangkovic , I. J. Reilly and M. K. Vamanamurthy , On strongly compact topological spaces, Question and answer in General Topology, 6 (1) (1988).
  • S. F. Tadros and A. B. Khalaf, On X-closed spaces, J. of the College of Education, Salahaddin Univ., 1989. Current address : Alias B. Khalaf: Department of Mathematics, Faculty of Science, University
  • of Duhok, Iraq. E-mail address : aliasbkhalaf@gmail.com Current address : Hariwan Z. Ibrahim: Department of Mathematics, Faculty of Science, Uni
There are 9 citations in total.

Details

Primary Language English
Authors

B. Khalaf Alias This is me

Hariwan Z. Ibrahım This is me

Publication Date February 1, 2017
DOI https://doi.org/10.1501/Commua1_0000000773
IZ https://izlik.org/JA64MB63JY
Published in Issue Year 2017 Volume: 66 Issue: 1

Cite

APA Khalaf Alias, B., & Z. Ibrahım, H. (2017). α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 43-50. https://doi.org/10.1501/Commua1_0000000773
AMA 1.Khalaf Alias B, Z. Ibrahım H. α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):43-50. doi:10.1501/Commua1_0000000773
Chicago Khalaf Alias, B., and Hariwan Z. Ibrahım. 2017. “α-ℽ-Convergence, α-ℽ- Accumulation and α-ℽ- Compactness”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 (1): 43-50. https://doi.org/10.1501/Commua1_0000000773.
EndNote Khalaf Alias B, Z. Ibrahım H (February 1, 2017) α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 43–50.
IEEE [1]B. Khalaf Alias and H. Z. Ibrahım, “α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 43–50, Feb. 2017, doi: 10.1501/Commua1_0000000773.
ISNAD Khalaf Alias, B. - Z. Ibrahım, Hariwan. “α-ℽ-Convergence, α-ℽ- Accumulation and α-ℽ- Compactness”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (February 1, 2017): 43-50. https://doi.org/10.1501/Commua1_0000000773.
JAMA 1.Khalaf Alias B, Z. Ibrahım H. α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:43–50.
MLA Khalaf Alias, B., and Hariwan Z. Ibrahım. “α-ℽ-Convergence, α-ℽ- Accumulation and α-ℽ- Compactness”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, Feb. 2017, pp. 43-50, doi:10.1501/Commua1_0000000773.
Vancouver 1.B. Khalaf Alias, Hariwan Z. Ibrahım. α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017 Feb. 1;66(1):43-50. doi:10.1501/Commua1_0000000773

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

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