ON b-â„Š-OPEN SETS

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K. Indirani

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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How to Cite
Indirani, K. (2014). ON b-â„Š-OPEN SETS. Journal of Global Research in Mathematical Archives(JGRMA), 1(10), 56–62. Retrieved from https://jgrma.com/index.php/jgrma/article/view/128
Section
Research Paper

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