Weakly Ig-ω-closed Sets
Keywords:
τ⋆, generalized class, weakly Ig-ω-closed set, ideal topological space, generalized closed set, Ig-ω-closed set, pre⋆ I-closed set, pre⋆ I-open set
Abstract
In this paper, another generalized class of τ⋆ called weakly Ig-ω-closed sets is studied and the notion of weakly Ig-ω-open sets in ideal topological spaces is also studied. The relationships of weakly Ig-ω-closed sets with various other sets are investigated.
References
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K.Banumathi, R.Premkumar and O.Ravi, Ig-ω-closed sets, Submitted.
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E.Ekici and S.Ozen, A generalized class of τ⋆ in ideal spaces, Filomat, 27(4)(2013), 529-535.
H.Z.Hdeib, ω-closed mappings, Revista Colomb. De Matem., 16(1-2)(1982), 65-78.
D.Jankovic and T.R.Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
Khalid Y.Al-Zoubi, On generalized ω-closed sets, Intern. J. Math. Math. Sci., 13(2005), 2011-2021.
K.Kuratowski, Topology, Vol. I, Academic Press, New York, (1966).
N.Levine, Generalized closed sets in topology, Rend. Cir. Math. Palermo, 19(2)(1970), 89-96.
M.Navaneethakrishnan and J.Paulraj Joseph, g-closed sets in ideal topological spaces, Acta Math. Hungar., 119(4)(2008), 365-371.
O.Nethaji, I.Rajasekaran and O.Ravi, Mildly Ig-ω-closed sets, Submitted.
T.Noiri, A.Al-Omari and M. S.M.Noorani, Weak forms of ω-open sets and decompositions of continuity, Eur. J. Pure Appl. Math., 2(1)(2009), 73-84.
J.K.Park and J.H.Park, Mildly generalized closed sets, almost normal and mildly normal spaces, Chaos, Solitons and Fractals, 20(2004), 1103-1111.
P.Sundaram and N.Nagaveni, On weakly generalized continuous maps, weakly generalized closed maps and weakly generalized irresolute maps in topological spaces, Far East J. Math. Sci., 6(6)(1998), 903-1012.
P.Sundaram and A.Pushpalatha, Strongly generalized closed sets in topological spaces, Far East J. Math. Sci., 3(4)(2001),
R.Vaidyanathaswamy, Set Topology, Chelsea Publishing Company, (1946)
S.Willard, General Topology, Addison-Wesley, Reading, Mass, USA, (1970).
A.Acikgoz and S.Yuksel, Some new sets and decompositions of AI−R-continuity, α-I-continuity, continuity via idealization, Acta Math. Hungar., 114(1-2)(2007), 79-89.
A.Al-Omari and M.S.M.Noorani, Contra-ω-continuous and Almost contra-ω-continuous, Intern. J. Math. Math. Sci., 2007(2007), Artical ID 40469, 13 Pages.
A.Al-Omari and M.S.M.Noorani, Regular generalized ω-closed sets, Intern. J. Math. Math. Sci., 2007(2007), Article ID 16292, 11 Pages.
K.Banumathi, R.Premkumar and O.Ravi, Ig-ω-closed sets, Submitted.
J.Dontchev, M.Ganster and T.Noiri, Unified operation approach of generalized closed sets via topological ideals, Math. Japonica, 49(1999), 395-401.
E.Ekici,On ACI-sets, BCI-sets, βI⋆-open sets and decompositions of continuity in ideal topological spaces, Creat. Math. Inform, 20(2011), 47-54.
E.Ekici and S.Ozen, A generalized class of τ⋆ in ideal spaces, Filomat, 27(4)(2013), 529-535.
H.Z.Hdeib, ω-closed mappings, Revista Colomb. De Matem., 16(1-2)(1982), 65-78.
D.Jankovic and T.R.Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
Khalid Y.Al-Zoubi, On generalized ω-closed sets, Intern. J. Math. Math. Sci., 13(2005), 2011-2021.
K.Kuratowski, Topology, Vol. I, Academic Press, New York, (1966).
N.Levine, Generalized closed sets in topology, Rend. Cir. Math. Palermo, 19(2)(1970), 89-96.
M.Navaneethakrishnan and J.Paulraj Joseph, g-closed sets in ideal topological spaces, Acta Math. Hungar., 119(4)(2008), 365-371.
O.Nethaji, I.Rajasekaran and O.Ravi, Mildly Ig-ω-closed sets, Submitted.
T.Noiri, A.Al-Omari and M. S.M.Noorani, Weak forms of ω-open sets and decompositions of continuity, Eur. J. Pure Appl. Math., 2(1)(2009), 73-84.
J.K.Park and J.H.Park, Mildly generalized closed sets, almost normal and mildly normal spaces, Chaos, Solitons and Fractals, 20(2004), 1103-1111.
P.Sundaram and N.Nagaveni, On weakly generalized continuous maps, weakly generalized closed maps and weakly generalized irresolute maps in topological spaces, Far East J. Math. Sci., 6(6)(1998), 903-1012.
P.Sundaram and A.Pushpalatha, Strongly generalized closed sets in topological spaces, Far East J. Math. Sci., 3(4)(2001),
R.Vaidyanathaswamy, Set Topology, Chelsea Publishing Company, (1946)
S.Willard, General Topology, Addison-Wesley, Reading, Mass, USA, (1970).
How to Cite
K.Banumathi, I.Rajasekaran, & O.Ravi. (2017). Weakly Ig-ω-closed Sets. International Journal of Current Research in Science and Technology, 3(3), 1-8. Retrieved from https://crst.gfer.org/index.php/crst/article/view/84
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