On Pre-γ-I-Open Sets In Ideal Topological Spaces
Keywords:
γ-open, pre-γ-I-open setsAbstract
In this paper, we introduce and study the notion of pre-γ-I-open sets in ideal topological space.
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References
A. B. Khalaf and H. Z. Ibrahim, Some applications of γ-P-open sets in topological spaces, Indian J. Pure Appl. Math., 5 (2011), 81-96.
A. C. Guler and G. Aslim, b-I-open sets and decomposition of continuity via idealization, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb., 22 (2005), 27-32.
A. Keskin, T. Noiri and S. Yuksel, Decompositions of I-continuity and continuity, Commun. Fac. Sci. Univ. Ankara Series A1, 53 (2004), 67-75.
A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, Onprecontinuous and weak precontinuous functions, Proc. Math. Phys. Soc. Egypt,51 (1982) 47-53.
D. Jankovic and T. R. Hamlett, Compatible extensions of ideals, Boll. Un. Mat. Ital., (7) 6 (3) (1992), 453-465.
D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-310.
E. Ekici and T. Noiri, *-extremally disconnected ideal topological spaces, Acta Math. Hungar.,122 (1-2) (2009), 81-90.
E. G. Yang, Around decompositions of continuity via idealization, Q. and A. in General Topology, 26 (2008), 131-138.
E. Hatir and T. Noiri, On decompositions of continuity via idealization, Acta Math. Hungar.,96 (2002), 341-349.
E. Hayashi, Topologies defined by local properties, Math. Ann., 156 (1964), 205-215.
G. SaiSundara Krishnan, A new class of semi open sets in a topological space, Proc. NCMCM, Allied Publishers, New Delhi, (2003) 305-311.
G. S. S. Krishnan and K. Balachandran, On a class of γ-preopen sets in a topological space, East Asian Math. J., 22 (2) (2006), 131-149.
H. Ogata, Operation on topological spaces and associated topology, Math. Japonica 36 (1991) 175-184.
H. Z. Ibrahim, Weak forms of γ-open sets and new separation axioms, Int. J. of Scientific and Engineering Research, 3 (4), April (2012).
J. Dontchev, Idealization of Ganster-Reilly decomposition theorems, arxiv:math.GN/9901017v1 (1999).
K. Kuratowski, Topology, Vol. I, Academic Press, NewYork, (1966).
N. Bourbaki, General Topology, Part I, Addison Wesley, Reading, Mass (1966).
N. V. Velicko, H-closed topologicl spaces, Amer. Math. Soc. Transl.,78 (1968), 103-118.
R. A. Mahmound and D. A. Rose, A note on spaces via dense sets, Tamkang J. Math., 24 (3) (1993), 333-339.
S. Kasahara, Operalion-compact spaces, Math. Japonica, 24 (1979), 97-105.
S. Yuksel, A. Acikgoz and T. Noiri, Onδ-I-continuous functions, Turk. J. Math.,29 (2005), 39-51.
A. C. Guler and G. Aslim, b-I-open sets and decomposition of continuity via idealization, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb., 22 (2005), 27-32.
A. Keskin, T. Noiri and S. Yuksel, Decompositions of I-continuity and continuity, Commun. Fac. Sci. Univ. Ankara Series A1, 53 (2004), 67-75.
A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, Onprecontinuous and weak precontinuous functions, Proc. Math. Phys. Soc. Egypt,51 (1982) 47-53.
D. Jankovic and T. R. Hamlett, Compatible extensions of ideals, Boll. Un. Mat. Ital., (7) 6 (3) (1992), 453-465.
D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-310.
E. Ekici and T. Noiri, *-extremally disconnected ideal topological spaces, Acta Math. Hungar.,122 (1-2) (2009), 81-90.
E. G. Yang, Around decompositions of continuity via idealization, Q. and A. in General Topology, 26 (2008), 131-138.
E. Hatir and T. Noiri, On decompositions of continuity via idealization, Acta Math. Hungar.,96 (2002), 341-349.
E. Hayashi, Topologies defined by local properties, Math. Ann., 156 (1964), 205-215.
G. SaiSundara Krishnan, A new class of semi open sets in a topological space, Proc. NCMCM, Allied Publishers, New Delhi, (2003) 305-311.
G. S. S. Krishnan and K. Balachandran, On a class of γ-preopen sets in a topological space, East Asian Math. J., 22 (2) (2006), 131-149.
H. Ogata, Operation on topological spaces and associated topology, Math. Japonica 36 (1991) 175-184.
H. Z. Ibrahim, Weak forms of γ-open sets and new separation axioms, Int. J. of Scientific and Engineering Research, 3 (4), April (2012).
J. Dontchev, Idealization of Ganster-Reilly decomposition theorems, arxiv:math.GN/9901017v1 (1999).
K. Kuratowski, Topology, Vol. I, Academic Press, NewYork, (1966).
N. Bourbaki, General Topology, Part I, Addison Wesley, Reading, Mass (1966).
N. V. Velicko, H-closed topologicl spaces, Amer. Math. Soc. Transl.,78 (1968), 103-118.
R. A. Mahmound and D. A. Rose, A note on spaces via dense sets, Tamkang J. Math., 24 (3) (1993), 333-339.
S. Kasahara, Operalion-compact spaces, Math. Japonica, 24 (1979), 97-105.
S. Yuksel, A. Acikgoz and T. Noiri, Onδ-I-continuous functions, Turk. J. Math.,29 (2005), 39-51.
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Published
2018-09-25
How to Cite
Ibrahim, H. Z. (2018). On Pre-γ-I-Open Sets In Ideal Topological Spaces. Science Journal of University of Zakho, 1(1), 349–353. Retrieved from https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/119
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Science Journal of University of Zakho
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Copyright (c) 2013 Hariwan Z. Ibrahim
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