On generalized delta omega-closed sets
DOI:
https://doi.org/10.22199/issn.0717-6279-2020-06-0087Keywords:
δω−open sets, δω−compact space, Generalized δω−closed, Generalized closedAbstract
A new class of sets called generalized delta omega-closed sets closed sets in topological spaces is introduced and some of their basic properties are investigated. This new class of sets lies between the class of delta omega-closed sets closed and generalized closed sets in (X, t ). Moreover, we provide several relatively new decompositions of continuity. Several examples are provided to illustrate the behavior of the new sets.
References
H. H. Al-Jarrah, A. Al-Rawshdeh, E. M. Al-Saleh, and K. Y. Al-Zoubi, “Characterzation of RwO(X) sets by using delta omega-cluster points”, Novi Sad journal of mathematics, vol. 49, no. 2, pp. 109–122, May 2019, doi: 10.30755/NSJOM.08786
K. Al-Zoubi and B. Al-Nashef, “The topology of w open subsets”, Al-Manarah Journal, vol. 9, no. 2, pp. 169-179, 2003.
S. P. Arya and T. M. Nour, “Characterizations of s-normal spaces”, Indian journal of pure and applied mathematics, vol. 21, no. 8, pp. 717-719, Aug. 1990. [On line]. Available: https://bit.ly/3mqPi46
K. Balachandran, P. Sundaram, and H. Maki, “On generalized continuous maps in topological spaces”, Memoirs of the Faculty of Science, Kochi University. Series A, Mathematics, vol. 12, pp. 5-13, 1991. [On line]. Available: https://bit.ly/31KSzmS
J. Dontchev and M. Ganster, “On delta generalized closed sets and T3/4 space”, Memoirs of the Faculty of Science Kochi University Series A Mathematics, vol. 17, pp. 15-31, 1996.
J. Dontchev and H. Maki, “On theta generalized closed sets”, International journal of mathematics and mathematical sciences, vol. 22, no. 2, pp. 239-249, 1999, doi: 10.1155/S0161171299222399
W. Dunham, “T1/2 -spaces”, Kyungpook mathematical journal, vol. 17, no. 2, pp. 161-169, 1977. [On line]. Available: https://bit.ly/35EdCZB
R. Engelking, Outline of general topology. Amsterdam: North-Holland, 1968.
H. Z. Hdeib, “w Closed mappings”, Revista colombiana de matemáticas, vol. 16, no. 1-2, pp. 65-78, 1982. [On line]. Available: https://bit.ly/35HJRqM
N. Levine, “Generalized closed sets in topology”, Rendiconti del Circolo Matematico di Palermo, vol. 19, no. 2, pp. 89-96, Jan. 1970, doi: 10.1007/BF02843888
H. Maki, R. Devi, and K. Balachandran, “Associated topologies of generalized a-closed sets and a-generalized closed sets”, Memoirs of the Faculty of Science Kochi University Series A Mathematics, vol. 15, pp. 51-63, 1994.
M. Mrševic, I. L. Reilly and M. K. Vamanamurthy, “On semi-regularization properties”, Journal of the Australian Mathematical Society, vol. 38, no. 1, pp. 40-54, Feb. 1958, doi: 10.1017/S1446788700022588
S. Murugesan, “On Rw open sets”, Journal of advanced studies in topology, vol. 5, no. 3, pp. 24-27, May 2014. [On line]. Available: https://bit.ly/3e4OYp0
N. V. Velicko, “H-closed topological spaces”, Matematicheskii sbornik, vol. 70, no 1, pp. 98-112, 1966. [On line]. Available: https://bit.ly/3jyEJKC
Published
How to Cite
Issue
Section
Copyright (c) 2020 Amani Rawshdeh, Heyam H. Al-Jarrah, Eman M. Alsaleh, Khalid Y. Al-Zoubi
This work is licensed under a Creative Commons Attribution 4.0 International License.
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
