Operation Approaches on Ps-Open Sets and its Separation Axioms

  • Baravan A. Asaad University of Zakho
Keywords: P-open sets, separation axioms


The purpose of this paper is to introduce the concept of an operation on a class of PS-open subsets of topological spaces. Using this operation, we define the concept of -open sets, and study some of their related topological properties. Furthermore, some separation axioms by utilizing the operation g on PSO(X) and the set -open have been investigated.

Author Biography

Baravan A. Asaad, University of Zakho

Dept. of Mathematics, Faculty of Science, University of Zakho, Kurdistan-region, Iraq.


An T.V., Cuong D.X. and Maki H. (2008), On operation-preopen sets in topological spaces, Scientiae Mathematicae Japonicae Online, 68 1, 11-30, (e-2008), 241-260.
Crossley S.G. and Hildebrand S.K. (1971), Semi-closure, Texas Journal of Science, 22, 99-112.
Dontchev J. (1998), Survey on preopen sets, The Proceedings of the Yatsushiro Topological Conference, 1-18.
Khalaf A.B. and Asaad B.A. (2009), PS-open sets and PS-continuity in topological spaces, J. Duhok Univ., 12 2, 183-192.
Levine N. (1963), Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 1, 36-41.
Maheshwari S.N. and Prasad R. (1975), Some new separation axioms, Ann. Soc. Sci. Bruxelles, Ser. I., 89, 395-402.
Mashhour A.S., Abd El-Monsef M.E. and El-Deeb S.N. (1982), On precontinuous and week precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53, 47-53.
Kasahara S. (1979), Operation compact spaces, Math. Japonica, 24 1, 97-105.
Ogata H. (1991), Operation on topological spaces and associated topology, Math. Japonica, 36 1, 175-184.
How to Cite
Asaad, B. (2016). Operation Approaches on Ps-Open Sets and its Separation Axioms. Science Journal of University of Zakho, 4(2), 236-243. Retrieved from https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/355
Science Journal of University of Zakho