Volume 19, Issue 1 (4-2024)
IJMSI 2024, 19(1): 85-93 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Boonpok C. Unification of Generalized Open Sets with Respect to an Ideal. IJMSI 2024; 19 (1) :85-93
URL: http://ijmsi.ir/article-1-1723-en.html
URL: http://ijmsi.ir/article-1-1723-en.html
Abstract:
This paper deals with the concepts of Iµ-g-closed sets, Iµ-semi-open sets and Iµ-semi-preopen sets in ideal topological spaces and investigate several properties of these sets. Some characterizations of Iµ -regular spaces and Iµ-normal spaces are discussed.
Keywords: $mathscr{I}_mu$-g-closed set, $mathscr{I}_mu$-semi-open set, $mathscr{I}_mu$-semi-preopen set, $mathscr{I}_mu$-normal space, $mathscr{I}_mu$-regular space.
Type of Study: Research paper |
Subject:
General
References
1. A. Csaszar, Generalized Open Sets, Acta Mathematca Hungarica, 75(1-2), (1997), 65-87. [DOI:10.1023/A:1006582718102]
2. A. Csaszar, Generalized Topology, Generalized Continuity, Acta Mathematica Hungarica, 96(4), (2002), 351-357. [DOI:10.1023/A:1019713018007]
3. A. Csaszar, Extremally Disconnected Generalized Topologies, Annales Universitatis Scientiarium Budapestinensis de Rolando Eotvos Nominatae Sectio Mathematica, 47, (2004), 91-96.
4. A. Csaszar, Generalized Open Sets in Generalized Topologies, Acta Mathematica Hungarica, 106(1-2), (2005), 53-66. [DOI:10.1007/s10474-005-0005-5]
5. A. Csaszar, δ- and θ- modifications of Generalized Topologies, Acta Mathematica Hungarica, 120(3), (2008), 275-279. [DOI:10.1007/s10474-007-7136-9]
6. J. Dontchev, M. Ganster, T. Noiri, Unified Operations Approach of Generalized Closed Sets via Topological Ideals, Mathematica Japonica, 49, (1999), 395-401.
7. E. Ekici, Generalized Submaximal Spaces, Acta Mathematica Hungarica, 134(1-2), (2012), 132-138. [DOI:10.1007/s10474-011-0109-z]
8. S. Jafari, N. Rajesh, Generalized Closed Sets with Respect to an Ideal, European Journal of Pure and Applied Mathematics, 4(2), (2011), 147-151.
9. D. Jankovi'c, T. R. Hamlett, New Topologies from Old via Ideals, The American Mathematical Monthly, 97, (1990), 295-310. [DOI:10.1080/00029890.1990.11995593]
10. K. Kuratowski, Topology, Vol. I, New York, Academic Press, 1966.
11. N. Levine, Generalized Closed Sets in Topology, Rendiconti del Circolo Matematico di Palermo Series 2, 19, (1970), 89-96. [DOI:10.1007/BF02843888]
12. A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On Precontinuous and Weak Precontinuous Mappings, Proceedings of the Mathematical and Physical Society Egypt, 53, (1982), 47-53.
13. F. I. Michael, On Semi-open Sets with Respect to an Ideal, European Journal of Pure and Applied Mathematics, 6(1), (2013), 53-58.
14. A. A. Nasef, R. Mareay, E. I. Michael, Idealization of Some Topological Concepts, European Journal of Pure and Applied Mathematics, 8(3), (2015), 389-394.
15. M. Navaneethakrishnan, J. P. Joseph, g-closed Sets in Ideal Topological Spaces, Acta Mathematica Hungarica, 119(4), (2008), 365-371. [DOI:10.1007/s10474-007-7050-1]
16. T. Noiri, B. Roy, Unification of Generalized Open Sets on Topological Spaces, Acta Mathematica Hungarica, 130(4), (2011), 349-357. [DOI:10.1007/s10474-010-0010-1]
17. V. Renukadevi, D. Sivaraj, A Generalized of Normal Spaces, Archivum Mathematicum, 44, (2008), 265-270.
18. R. Vaidyanathaswamy, The Localization Theory in Set Topology, Proceedings of the Indian Academy Sciences Section A, 20, (1944), 51-61. [DOI:10.1007/BF03048958]
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
