I mg#-closed Sets
Keywords:
Ig⋆-closed set, Img#-closed set, g⋆-closed set, mg⋆-open set
Abstract
In this paper, we introduce the notion of I mg#-closed sets. In Sections 3 and 4, we obtain some basic properties and characterizations of I mg#-closed sets. In the last section, we define several new subsets in ideal topological spaces which lie between ⋆-closed sets and I g⋆-closed sets.
References
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J.Dontchev and T.Noiri, Quasi-normal spaces and πg-closed sets, Acta Math. Hungar., 89(3)(2000), 211-219.
A.I.El-Maghrabi and A.A.Nasef, Between semi-closed and GS-closed sets, Journal of Taibah University for Science, 2(2009), 78-87.
T.R.Hamlett, D.Rose and D.Jankovic, Paracompactness with respect to an ideal, Internat. J. Math. Math. Sci., 20(1997), 433-442.
D.Jankovic and T.R.Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
N.Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(1970), 89-96.
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S.Padmasekaran, O.Ravi and S.Srinivasan, Between closed sets and g⋆-closed sets, International Journal of Mathematical Archive, 5(10)(2014), 251-256.
N.Palaniyappan and K.C.Rao, Regular generalized closed sets, Kyungpook Math. J., 33(1993), 211-219.
V.Popa and T.Noiri, On M-continuous functions, Anal. Univ. Dunarea de Jos Galati, Ser. Mat. Fiz. Mec. Teor., 18(23)(2000), 31-41.
O.Ravi, M.Paranjothi, S.Murugesan and M.Meharin, g*-closed sets in ideal topological spaces, South Asian Journal of Mathematics, 4(6)(2014), 252-264.
P.Sundaram and A.Pushpalatha, Strongly generalized closed sets in topological spaces, Far East J. Math. Sci., 3(4)(2001), 563-575.
M.K.R.S.Veerakumar, Pre-semi-closed sets, Indian J. Math., 44(2)(2002), 165-181.
M.K.R.S.Veerakumar, g⋆-preclosed sets, Acta Ciencia Indica (Mathematics), Meerut, XXVIII(M)(1)(2002), 51-60.
M.K.R.S.Veerakumar, Between closed sets and g-closed sets, Mem. Fac. Sci. Kochi. Univ. Ser. A. Math., 21(2000), 1-19.
J.Dontchev and T.Noiri, Quasi-normal spaces and πg-closed sets, Acta Math. Hungar., 89(3)(2000), 211-219.
A.I.El-Maghrabi and A.A.Nasef, Between semi-closed and GS-closed sets, Journal of Taibah University for Science, 2(2009), 78-87.
T.R.Hamlett, D.Rose and D.Jankovic, Paracompactness with respect to an ideal, Internat. J. Math. Math. Sci., 20(1997), 433-442.
D.Jankovic and T.R.Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
N.Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(1970), 89-96.
H.Maki, R.Devi and K.Balachandran, Associated topologies of generalized α-closed sets and α-generalized closed sets, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 15(1994), 51-63.
H.Maki, K.C.Rao and A.Nagoor Gani, On generalizing semi-open and preopen sets, Pure Appl. Math. Sci., 49(1999), 17-29.
K.Nono, R.Devi, M.Devipriya, M.Muthukumarasamy and H.Maki, On g#α-closed sets and the digital plane, Bull. Fukuoka Univ. Ed. Part III, 53(2004), 15-24.
T.Noiri and V.Popa, Between closed sets and g-closed sets, Rend. Circ. Mat. Palermo, 55(2)(2006), 175-184.
S.Padmasekaran, O.Ravi and S.Srinivasan, Between closed sets and g⋆-closed sets, International Journal of Mathematical Archive, 5(10)(2014), 251-256.
N.Palaniyappan and K.C.Rao, Regular generalized closed sets, Kyungpook Math. J., 33(1993), 211-219.
V.Popa and T.Noiri, On M-continuous functions, Anal. Univ. Dunarea de Jos Galati, Ser. Mat. Fiz. Mec. Teor., 18(23)(2000), 31-41.
O.Ravi, M.Paranjothi, S.Murugesan and M.Meharin, g*-closed sets in ideal topological spaces, South Asian Journal of Mathematics, 4(6)(2014), 252-264.
P.Sundaram and A.Pushpalatha, Strongly generalized closed sets in topological spaces, Far East J. Math. Sci., 3(4)(2001), 563-575.
M.K.R.S.Veerakumar, Pre-semi-closed sets, Indian J. Math., 44(2)(2002), 165-181.
M.K.R.S.Veerakumar, g⋆-preclosed sets, Acta Ciencia Indica (Mathematics), Meerut, XXVIII(M)(1)(2002), 51-60.
M.K.R.S.Veerakumar, Between closed sets and g-closed sets, Mem. Fac. Sci. Kochi. Univ. Ser. A. Math., 21(2000), 1-19.
How to Cite
O.Ravi, K.Indirani, & A.R.Thilagavathi. (2016). I mg#-closed Sets. International Journal of Current Research in Science and Technology, 2(5), 1-7. Retrieved from https://crst.gfer.org/index.php/crst/article/view/68
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