ON REGULAR mI-CLOSED SETS IN MINIMAL IDEAL TOPOLOGICAL SPACES
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Abstract
we introduce Am-I-sets by using the notion of regular-mI-closed sets.
2010 Mathematics Subject Classification: 54A05, 54C10
Keywords: regular-mI-closed set, Am-I-sets, m∗-perfect and m∗-dense in itself
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References
M. E. Abd El-Monsef, E. F. Lashien and A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math. J., 32 (1992), 211730.
A. Csaszar, Generalized topology, generalized continuity, Acta Math. Hun- gar., 96 (2002), 351-357.
E. Hatir and T. Noiri, On decompositions of continuity via idealization, Acta Math. Hungar., 96 (2002), 34117349.
E. Hayashi, Topologies deï¬ned by local properties. Math. Ann., 1964, 156: 205 - 215.
D. Jankovic and T. R. Hamlett, Compatible extensions of ideals, Boll. Un. Mat. Ital., B(7)6, (1992), 453-465.
D. Jankovic and T. R. Hamlett, New Topologies from old via Ideals, Amer. Math. Monthly, 1990, 97(4), 295 - 310.
K. Kuratowski, Topology, Vol. I, Academic Press (New York, 1966).
H. Maki, J. Umehara, T. Noiri. Every topological space is pre T1/2 . Mem. Fac. Sci. Kochi Univ. Ser. A Math., 1996, 17: 33 - 42.
O. Njastad, On some classes of nearly open sets, Paciï¬c J. Math., 15 (1965), 96117970.
O. B. Ozbakiri and E. D. Yildirim, On some closed sets in ideal minimal spaces, Acta Math. Hungar., 125 (3) (2009), 227-235.
V. Popa and T. Noiri, On m-continuous functions, Anal. Univ. Dunarea de Jos Galati, Ser. Mat. Fiz. Mec. Teor. (2), 18 (2000), 31-41.
V. Renukadevi, D. Sivaraj, T. Tamizh Chelvam. Codense and completely codense ideals. Acta Math. Hungar., 2005, 108(3): 197 - 205.
R. Vaidyanathaswamy. The localization theory in set topology. Proc. Indian Acad. Sci., 1945, 20: 51 - 61.