Mildly Ig-⋆-closed Sets
Keywords:
τ, generalized class, mildly Ig-⋆-closed set, ideal topological space, generalized closed set, Ig-closed set, pre∗ I-closed set, pre∗ I-open set
Abstract
In this paper, another generalized class of τ* called mildly Ig-⋆-open sets is introduced and the notion of mildly Ig-⋆- closed sets in ideal topological spaces is studied. The relationships of mildly Ig-⋆-closed sets with various like sets are investigated.
References
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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.
D.Jankovic and T.R.Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
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.
D.Mandal and M.N.Mukherjee, Certain new classes of generalized closed sets and their applications in ideal topological spaces, Filomat, 29(5)(2015), 1113-1120.
M.Navaneethakrishnan and J.Paulraj Joseph, g-closed sets in ideal topological spaces, Acta Math. Hungar., 119(4)(2008), 365-371.
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.
O.Ravi, R.Senthil Kumar and A.Hamari Choudhi, Weakly Ig-closed sets, Bulletin of the international mathematical virtual institute, 4(2014), 1-9.
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), 563-575.
R.Vaidyanathaswamy, Set Topology, Chelsea Publishing Company, (1946).
How to Cite
K.Meena, M.Rajakalaivanan, & O.Ravi. (2016). Mildly Ig-⋆-closed Sets. International Journal of Current Research in Science and Technology, 2(12), 9-17. Retrieved from https://crst.gfer.org/index.php/crst/article/view/77
Section
Articles
