On Strong Pre*-I-Open Sets in Ideal Topological Spaces
Year 2019,
Issue: 28, 44 - 52, 07.05.2019
Radhwan Mohammed Aqeel
,
Ahlam Abdullah Bin Kuddah
Abstract
The aim of the present paper is to introduce the class of strong pre*-I-open sets which is strictly placed between the class of all pre-I-open and the class of all pre*-I-open subsets of X. Relationships with some other types of sets were given. Furthermore, by using the new notion, we defined the strong pre*-I-Interior and strong pre*I-closure operators and established their various properties.
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Amer. Math. Monthly 97 (1990) 295-310.
- M. E. Abd El-monsef, E. F. Lashien, A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math 32 (1992) 21-30.
- J. Dontchev, Idealization of Ganster-Reilly decomposition theorems,
arxiv: math GN/9901017v1(1999).
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Acta Math. Hungar 96(4) (2002) 341-349.
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- R. M. Aqeel, A. A. Bin Kuddah, On strong semi*-I-open sets in ideal topological spaces,
Aden University Journal of Natural and Applied Sciences (Accepted).
- E. Hatir, A. Keskin, T. Noiri, On a new decomposition of continuity via idealization,
JP J. Geometry Topology 3(1) (2003) 53-64.
- M. E. Abd El-Monsef, S. N. El-Deeb, R. A. Mahmoud, \beta -open sets and \beta-
continuous mappings , Bull. Fac. Sci. Assiut Univ 12 (1983) 77-90.
- E. Hatir and S. Jafari, On weakly semi-I-open sets and another decomposition continuity via ideals, Sarajevo J. Math
2(14) (2006) 107-114.
- E. Hatir, A. Keskin, T. Noiri, A note on strong \beta-I-open sets and strongly \beta-I-continuous functions,
Acta Math. Hungar 108(1-2) (2005) 87-94.
- E. Hayashi, Topologies defined by local properties, Math. Ann 156 (1964) 205-215.
- J.Dontchev, M. Ganster, D. Rose, Ideal resolvability, Topology Appl 93 (1) (1999), 1-16.
- V. Renukadevi, D. Sivaraj, A decomposition of continuity via ideals, Acta. Math.Hungar 118 (1-2) (2008) 53-59.
- E. Ekici, On pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces,
Acta Univ. Apulensis 30 (2012) 293-303.
- E. G. Yang, A round decompositions of continuity via idealization ,Questions Answers General Topology 26 (2008) 131-138.
- E. Ekici, T .Noiri, \emph{*-extremally disconnected ideal topological spaces}, Acta Math.Hungar 122 (2009) 81-90.
Year 2019,
Issue: 28, 44 - 52, 07.05.2019
Radhwan Mohammed Aqeel
,
Ahlam Abdullah Bin Kuddah
References
- K. Kuratowski, Topology, Vol. I, Academic Press, NewYork
1966.
- D. Jankovi´c, T.R.Hamlett, New topologies from old via ideals,
Amer. Math. Monthly 97 (1990) 295-310.
- M. E. Abd El-monsef, E. F. Lashien, A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math 32 (1992) 21-30.
- J. Dontchev, Idealization of Ganster-Reilly decomposition theorems,
arxiv: math GN/9901017v1(1999).
- E. Hatir, T. Noiri, On decompositions of continuity via idealization,
Acta Math. Hungar 96(4) (2002) 341-349.
- E. Ekici, On ACI -sets, BCI -sets, \beta^*I -open sets and decompositions of continuity in ideal topological spaces, Creat. Math. Inform 20(1) (2011) 47-54.
- A. Keskin, S. Yuksel, T. Noiri, Decompositions of I-continuity and continuity, Commun.Fac. Sci. Univ. Ank. Ser. A1 53(2) (2004) 67-75.
- A.S. Mashhour, M. E. Abd El-monsef, S. N. El-deep, On precontinuous and weak precontinuous mappings, Proc. Math.Phys soc. Egypt 53 (1982), 47-53.
- E. Ekici, On A^*_I-sets, C_I-sets, C^*_I-sets and decompositions of continuity in ideal topological spaces, Anal. Al. I. Cuza Univ. Math 2013, DOI: 10.2478/v10157-012-0030-y.
- R. M. Aqeel, A. A. Bin Kuddah, On strong semi*-I-open sets in ideal topological spaces,
Aden University Journal of Natural and Applied Sciences (Accepted).
- E. Hatir, A. Keskin, T. Noiri, On a new decomposition of continuity via idealization,
JP J. Geometry Topology 3(1) (2003) 53-64.
- M. E. Abd El-Monsef, S. N. El-Deeb, R. A. Mahmoud, \beta -open sets and \beta-
continuous mappings , Bull. Fac. Sci. Assiut Univ 12 (1983) 77-90.
- E. Hatir and S. Jafari, On weakly semi-I-open sets and another decomposition continuity via ideals, Sarajevo J. Math
2(14) (2006) 107-114.
- E. Hatir, A. Keskin, T. Noiri, A note on strong \beta-I-open sets and strongly \beta-I-continuous functions,
Acta Math. Hungar 108(1-2) (2005) 87-94.
- E. Hayashi, Topologies defined by local properties, Math. Ann 156 (1964) 205-215.
- J.Dontchev, M. Ganster, D. Rose, Ideal resolvability, Topology Appl 93 (1) (1999), 1-16.
- V. Renukadevi, D. Sivaraj, A decomposition of continuity via ideals, Acta. Math.Hungar 118 (1-2) (2008) 53-59.
- E. Ekici, On pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces,
Acta Univ. Apulensis 30 (2012) 293-303.
- E. G. Yang, A round decompositions of continuity via idealization ,Questions Answers General Topology 26 (2008) 131-138.
- E. Ekici, T .Noiri, \emph{*-extremally disconnected ideal topological spaces}, Acta Math.Hungar 122 (2009) 81-90.