On semi*-I-open sets, pre*-Ii-open sets and e-I-open sets in ideal topological spaces
DOI:
https://doi.org/10.5269/bspm.51599Abstract
In this paper we introduce and investigate some properties of semi*- I-open sets, pre*-I-open sets and e-I-open sets in ideal topological spaces. Moreover, some relationships among semi*-I-open sets, e-I-open sets and pre*-
I-open sets in ideal topological spaces are established. Finally, we obtain the decompositions of continuity.
References
1. Arenas, F. Dontchev, G. J. and Puertas, M. L. Idealization of some weak separation axioms, Acta Math. Hungar. 89, no.(1-2), 47- 53, (2000).
2. Al-Omeri, W. Noorani, M. and Al-Omari, A. On e-I-open sets, e-I-continuous functions and decomposition of continuity, J. Math. Appl. 38, 15-31, (2015).
3. Al-Omeri, W. Noiri, T. AGI-sets, BGI -sets and δβI -open sets in ideal topological spaces, Int. J. Adv. Math. 2018, no. 4 , 25-33, (2018).
4. Ekici, E. and Noiri, T. On subsets and decompositions of continuity in ideal topological spaces, Arab. J. Sci. Eng. Sect. A Sci. 34, 165-177, (2009).
5. Hatir, E. On decompositions of continuity and complete continuity in ideal topological spaces, Eur. J. Pure Appl. Math. 6, no. 3, 352-362, (2013).
6. Jankovic, D. and Hamlett, T. R. New topologies from old via ideals, Amer. Math. Monthly. 97, 295-310, (1990).
7. Keskin, A., Noiri, T. and Yuksel, S. Decompositions of I-continuity and continuity, Commun. Fac. Sci. Univ. Ankara Series A1, 53, 67-75, (2004).
8. Kuratowski, K. Topology, Vol. I. NewYork: Academic Press (1966).
9. Mukherjee, M. Bishwambhar, N. R. and Sen, R. On extension of topological spaces in terms of ideals, Topology and its Appl. 154, 3167-3172, (2007).
10. Nasef, A. A. and Mahmoud, R. A. Some applications via fuzzy ideals, Chaos Solitons Fractals. 13, 825-831, (2002).
11. Wadei Faris, Al-Omeri, Noorani, MS. Md. Al-omeri, Ahmad. and Noiri, T. Weak separation axioms via e-I-sets in ideal topological spaces, Eur. J. Pure Appl. Math. 8, no. 4, 502-513, (2015).
12. Wadei, A.L., Noorani, M.S.M. and Ahmad, A.O., Weak open sets on simple extension ideal topological space, Ital. J. Pure Appl. Math. 33, 333-344, (2014).
13. Yuksel, Acikgoz, S. A. and Noiri, T. On δ-i-continuous functions, Turk. J. Math. 29, 39-51, (2005).
2. Al-Omeri, W. Noorani, M. and Al-Omari, A. On e-I-open sets, e-I-continuous functions and decomposition of continuity, J. Math. Appl. 38, 15-31, (2015).
3. Al-Omeri, W. Noiri, T. AGI-sets, BGI -sets and δβI -open sets in ideal topological spaces, Int. J. Adv. Math. 2018, no. 4 , 25-33, (2018).
4. Ekici, E. and Noiri, T. On subsets and decompositions of continuity in ideal topological spaces, Arab. J. Sci. Eng. Sect. A Sci. 34, 165-177, (2009).
5. Hatir, E. On decompositions of continuity and complete continuity in ideal topological spaces, Eur. J. Pure Appl. Math. 6, no. 3, 352-362, (2013).
6. Jankovic, D. and Hamlett, T. R. New topologies from old via ideals, Amer. Math. Monthly. 97, 295-310, (1990).
7. Keskin, A., Noiri, T. and Yuksel, S. Decompositions of I-continuity and continuity, Commun. Fac. Sci. Univ. Ankara Series A1, 53, 67-75, (2004).
8. Kuratowski, K. Topology, Vol. I. NewYork: Academic Press (1966).
9. Mukherjee, M. Bishwambhar, N. R. and Sen, R. On extension of topological spaces in terms of ideals, Topology and its Appl. 154, 3167-3172, (2007).
10. Nasef, A. A. and Mahmoud, R. A. Some applications via fuzzy ideals, Chaos Solitons Fractals. 13, 825-831, (2002).
11. Wadei Faris, Al-Omeri, Noorani, MS. Md. Al-omeri, Ahmad. and Noiri, T. Weak separation axioms via e-I-sets in ideal topological spaces, Eur. J. Pure Appl. Math. 8, no. 4, 502-513, (2015).
12. Wadei, A.L., Noorani, M.S.M. and Ahmad, A.O., Weak open sets on simple extension ideal topological space, Ital. J. Pure Appl. Math. 33, 333-344, (2014).
13. Yuksel, Acikgoz, S. A. and Noiri, T. On δ-i-continuous functions, Turk. J. Math. 29, 39-51, (2005).
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2022-12-23
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