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

B. Khalaf Alias; Hariwan Z. Ibrahım

doi:10.1501/Commua1_0000000773

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

Year 2017, Volume: 66 Issue: 1, 43 - 50, 01.02.2017

B. Khalaf Alias Hariwan Z. Ibrahım

https://doi.org/10.1501/Commua1_0000000773

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.

Keywords

Operation, α-ℽ-compact

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

B. Khalaf Alias Hariwan Z. Ibrahım

https://doi.org/10.1501/Commua1_0000000773

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
Journal Section	Research Articles
Authors	B. Khalaf Alias This is me Hariwan Z. Ibrahım This is me
Publication Date	February 1, 2017
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	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. February 2017;66(1):43-50. doi:10.1501/Commua1_0000000773
Chicago	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 66, no. 1 (February 2017): 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	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, 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 2017), 43-50. https://doi.org/10.1501/Commua1_0000000773.
JAMA	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, 2017, pp. 43-50, doi:10.1501/Commua1_0000000773.
Vancouver	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.