Weakly g⋆-closed Sets
Keywords:
g⋆-closed set, wg⋆-closed set, g⋆-continuity, wg⋆-continuity
Abstract
Veera kumar [14] introduced the class of g⋆-closed sets. We introduce a new class of generalized closed sets called weakly g⋆-closed sets which contains the above mentioned class. Also, we investigate the relationships among the related generalized closed sets.
References
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D.Carnation, Some properties related to compactness in topological spaces, Ph.D. Thesis, University of Arkansas, (1977).
E.Ekici, Generalization of perfectly continuous, regular set-connected and clopen functions, Acta Math. Hungar., 107(3)(2005), 193-206.
N.Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2)(1970), 89-96.
N.Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
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.
N.Nagaveni, Studies on generalizations of homeomorphisms in topological spaces, Ph.D. Thesis, Bharathiar University, Coimbatore, (1999).
O.Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
O.Ravi, S.Ganesan and S.Chandrasekar, On weakly πg-closed sets in topological spaces, Italian Journal of Pure and Applied Mathematics (To appear).
M.H.Stone, Applications of the theory of Boolean rings to general topology, Trans Amer. Math. Soc., 41(1937), 374-481.
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), 903-912.
G.Thanavalli, Further study of bitopological sets, functions and spaces, Madurai Kamaraj University, Ph. D Thesis (2015).
M.K.R.S.Veera Kumar, Between closed sets and g-closed sets, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 21(2000), 1-19.
How to Cite
O. Ravi, I. Rajasekaran, & M. Sathyabama. (2015). Weakly g⋆-closed Sets. International Journal of Current Research in Science and Technology, 1(5), 45-52. Retrieved from https://crst.gfer.org/index.php/crst/article/view/27
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