The Best Common Feature Between ii-Open and α-Open Sets

Authors

  • Sabih W. Askandar Author
  • Amir A. Mohammed Author

DOI:

https://doi.org/10.59992/gdg99w67

Keywords:

open sets and ii-open sets

Abstract

It is well known that for any topological space the family of all open sets is also a topological space. In this paper, we introduce a new description of ii-open sets in a topological space with proof that the family of ii-open sets is again a topological space.

Author Biographies

  • Sabih W. Askandar

    Department of Mathematics, College of Education for Pure Sciences, University of Mosul, Mosul, Iraq.

  • Amir A. Mohammed

    Department of Mathematics, College of Education for Pure Sciences, University of Mosul, Mosul, Iraq.

References

M. E. Abd El-Monsef, S. N. El-Deep & R. A. Mahmood. β-open sets and β-continuous mappings, Bull. Fac. Sci. Assiut Univ. 12 (1983), 77-90.

B. S., Abdullah, S. W. Askandar and A. A. Mohammed. New Classes of Open Sets in Topological Spaces, Turkish Journal of Computer and Mathematics Education, Vol. 13, 3(2022), 247-256.

D. Andrijevic. On b-open sets. Mat. Vesnik, 38(1996), 59-64.

S.W., Askandar and A.A. Mohammed. Soft ii-open sets in soft topological spaces, Open Access Library Journal, 7(2020), 1-18.

S. W. Askandar and A. A. Mohammed. Soft ii-Mappings in Soft Topological Spaces. Italian Journal of Pure and Applied Mathematics, N. 47(2022), 240-257.

N. Levine. Semi-open sets and semi-continuity in topological spaces. The American Mathematical Monthly, Vol. 70, 1(1963), 36-41.

A.A., Mohammed, and S.W., Askandar. i-open sets in bi-topological spaces, Al-Rafidain Journal of Computer Sciences and Mathematics, Vol. 12, 1(2018), 13-23.

A.A. Mohammed and B.S. Abdullah. ii-open sets in topological spaces, International Mathematical Forum, Vol. 14, 1(2019), 41-48.

O. Njastad, On some classes of nearly open sets, Pacific Journal of Mathematics, Vol. 15, 3(1965), 961-970.

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Published

2023-02-15

Issue

Section

Articles

How to Cite

The Best Common Feature Between ii-Open and α-Open Sets. (2023). The International Journal for Scientific Research, 2(2). https://doi.org/10.59992/gdg99w67