ON b-â„Š-OPEN SETS
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Abstract
In this paper, a new class of generalized open sets in a grill topological spaces called b-â„Š-open sets, is introduced and studied. This class is contained in the class of semi-pre-â„Š-open sets and contains all semi-â„Š-open sets and all pre-â„Š-open sets.
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References
D. Andrijevic, Semi-preopen sets, Mat. Vesnik, 38(1) (1986), 24-32.
D. Andrijevic, On b-open sets, Mat. Vesnik, 48(1996), 59-64.
S.P. Arya and T. Nour, Characterizations of s-normal spaces, Indian J.Pure.Appl. Math., 21(8)
(1990), 717-719.
G. Choquet, Sur less notions de filter et grille, comptes Rendus Acad. Sci. Paris, 224(1947), 171-173.
K. Indirani, P. Sathishmohan and V. Rajendran, On Generalized Grill Closed Sets,
International Journal of Applied Mathematics, vol 3, Issue 2(Oct 2012-Mar ‘13)
N. Levine, Semi-open sets and semi-continuity in topological Spaces, Amer.Math.Monthly, 70(1963),
-41.
Maheshwari S.N, Tapi. U. Note on some application on feebly open sets M.B.J.Univ. of Saugar.
A.S. Mahshour, M.E. Abd EI-Monsef and S.N. EI-Deeb, On Pre-Continuous and weak Pre-
continuous mappings, Proc. Math. And Phys. Soc. Egypt, 53(1982), 47-53.
A.S. Mahshour, I.A. Hasanein and S.N. EI-Deep, α-continuous and α-open mappings, Acta. Math.
Hung., 41(3-4) (1983), 213-218.
O.Njastad, On some classes of nearly open sets, Pacific J.Math., 15(1965), 961-970.
O.Njastad, On b-locally closed sets and related topics, Chaos, Solitons and Fractals 12(2001), 1909-
O.Njastad, Feebly locally closed sets and feebly LC-continuous functions, (to appear)
B. Roy and M.N. Mukherjee, On a typical topology induced by a grill, Soochow J.Math., 33(4)
(2007), 771-786.
O .Ravi and S. Ganesan On g-α-open sets and g