Pre αg-Open Functions and Pre αg-Closed Functions in Topology
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Abstract
In this paper we introduce  thenew class of functions namely, pre-αg-open functions and pre-αg-closed functions in topological spaces. Also, we define and study the concepts of α-αg-open functions, (p, αg)-open functions, strongly-αg-closed functions and α-αg-closedfunctions.
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References
S.N.El – Deeb, I. A. Hasanein, A. S. Mashhour and T. Noiri, “ On p-regular Spacesâ€, Bull. Math. Soc.Sci. Math. R.S.Roumanie (N.S), 27
(75), (1983), 311-315.
R.Devi, K.Balachandran and H.Maki, Generalized α-closed maps and α-generalized closed maps, Mem. Fac. Sci. Math. 29(1) (1998), 37-49.
N.Levine, Generalized Closed Sets in Topology. Rend. Circ. Mat. Palermo. 19(2) (1970),89-96.
H. Maki, R. Devi amdK.Balachandran, Associated topologies of generalized α-closed sets andα-generalized closed sets, Mem. Fac. Sci. Kochi. Univ. ser. A. Math., 15(1994), 51-63.
A. S. Mashhour, M.E.Abd El-Monsef and S.N.El-Deeb, On Precontinuous and weak Precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982) 47-53.
A. S. Mashhhour , I. A. Hasanein and S. N. El- Deeb, “On α-Continuous and α-Open Mappingâ€,Acta. Math. Hungar : 41(1983), 213-218.
A. S. Mashhour, M. E. Abd El-Monsef and I.A.Hasanein “On pretopological Spacesâ€,Bull. Math. Soc. Sci. Math. R.S. Roumanie, 28(76) (1984), 39-45.
GovindappaNavalagi, ‘α-Neighborhoods in Topological Spaces’, pacific- Asian Journal of Mathematics, Volume 3, No.1-2. January – December 2009.
O.Njastad, “On Some Classes of Nearly Open Setsâ€, Pacific J. Math., 15(1965), 961- 970.
T.Noiri, H. Maki and J.Umehara, ‘Generalized preclosed Functions’ Mem. Fac. Sci. Kochi. Univ. (Math.) 19(1998), 13-20.
T.Noiri, ‘Almost αg-closed functions and Separation Axioms’, Acta.Math. Hungar, 82(3) (1999), 193-205.ath.) 19(1998), 13-20.
I.L Reilly and M.K.Vamanmurthy, “On α-continuity in topological spaces’, Acta Math.Hung. 45(1-2) 1985, 27-32.