The Best Common Feature Between ii-Open and α-Open Sets
DOI:
https://doi.org/10.59992/gdg99w67الكلمات المفتاحية:
open sets and ii-open setsالملخص
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.
المراجع
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.