ϱ- TOPOLOGICAL OPERATORS IN TOPOLOGICAL SPACES
DOI:
https://doi.org/10.25271/sjuoz.2023.11.3.1117Keywords:
ϱ-open set, ϱ-derived sets , ϱ-neighbourhood, ϱ-exterior, ϱ-boundary, ϱ-saturatedAbstract
Operation Approach on a new class of topological spaces with -open subsets was called a -open set. In this article, we examined some basic properties of open sets such as closure, , limit points, derived sets, neighbourhood, interior, exterior, boundary, frontier and saturated set of already existing -open sets in topological spaces.
References
Alias B. Khalaf, and Baravan A. Asaad.(2009) “ PS-open sets and PS-Continuity in Topological spaces”, J.Duhok Univ. 12. 2, 183-192.
Alias B. Khalaf, and Zanyar A.Ameen(2010) “ sc-open sets and sc-continuity in topological spaces”, Journal of Advanced Research in Pure Mathematics 2.3,87-101.
Baravan A. Asaad. (2016) “Operation Approaches On Ps-Open Sets and Its Separation Axioms”, Journal of University of Zakho 4A.2 ,236-243 .
Baravan A. Asaad and Zanyar A. Ameen (2019) “Some properties of an operation on gα-open sets”, New Trends in Mathematical Sciences 7.2, 150-158.
Hayao Ogata(1991) “Operations on Topological spaces and associated topology”, Math . Japonica 36.1, 175-184.
Jayashree, R. and Sivakamasundari. K. (2018) “Operation approaches on δ-open sets”, International Journal of Mathematics Trends and Technology Special issue 73-78.
Kasahara S (1979)“Operation compact spaces”, Math. Japonica 24.1,97-105.
Levine N (1963), “Semi-open sets and semi-continuity in Topological spaces”, Amer. Math. Monthly 70.1,36-41.
Masshour A. S., EI-Monsef M. E. A.,and EI-Deeb S.N (1982), “On precontinuous and weak precontinuous mappings”, Proc. Math. Phys. Soc., Egypt 53, 47-53.
Raychaudhuri S. and Mukherjee M. N.(1993), “ On δ-almost continuity and δ-preopen sets”, Bull. Inst. Math. Acad. Sinica 21, 357-366.
Shanmugapriya H, Vidhyapriya.P and Sivakamasundari. K (2021), “A New Operation Approach in Topological spaces”, Indian Journal of Natural Sciences 12.65,30529-39.
Vidhyapriya P, Shanmugapriya H and Sivakamasundari K (2020), “δPs-Open Sets in Topological spaces”, AIP Conference Proceedings 2261 , 030103-1–030103-8.
Velicko N. V (1968), “ H-closed Topological spaces”, Amer. Math. Soc. Transl., 78.2 ,103-118.
Zanyar A. Ameen, Baravan A. Asaad, and Ramadhan A. Muhammed (2019), “On superclasses of δ-open sets in topological spaces”, International Journal of Applied Mathematics 32.2 ,259.
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Shanmugapriya H., Sivakamasundari K.

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY-NC-SA 4.0] that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work, with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online.