Contra g∗-continuity and Separation Axioms
Keywords:
Contra g-continuity, contra g∗-continuity, g∗-connected space
Abstract
The main results of this paper are several properties concerning contra g∗-continuous maps. Furthermore, the relationships between the contra g∗-continuity and some topological maps as well as Separation axioms are investigated.
References
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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.
A.S.Mashhour, M.E.Abd El-Monsef and S.N.El-Deeb, On precontinuous and weak pre continuous mappings, Proc. Math. and Phys. Soc. Egypt, 53(1982), 47-53.
A.S.Mashhour, I.A.Hasanein and S.N.El-Deeb, α-continuous and α-open mappings, Acta Math. Hungar., 41(1983), 213-218.
T.Nieminen, On Ultra pseudocompact and related topics, Ann. Acad. Sci. Fenn. Ser. A.I Math. 3(1977), 185-205.
O.Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
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.
K.Balachandran, P.Sundaram and H.Maki, On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ. Math., 12(1991), 5-13.
P.Bhattacharyya and B.K.Lahiri, Semi-generalized closed sets in topology, Indian J. Math., 29(3)(1987), 375-382.
M.Caldas, Semi-generalized continuous maps in topological spaces, Portugaliae Mathematica., 52(4)(1995), 339-407.
S.G.Crossley and S.K.Hildebrand, Semi-closure, Texas J. Sci., 22(1971), 99-112.
R.Devi, K.Balachandran and H.Maki, Semi-generalized closed maps and generalized semi-closed maps, Mem. Fac. Kochi Univ. Ser. A. Math., 14(1993), 41-54.
J.Dontchev and T.Noiri, Contra-semicontinuous functions, Math Pannonica, 10(1999), 159-168.
J.Dontchev, Contra-continuous functions and strongly S-closed spaces, Int. J Math. Math. Sci., 192(1996), 303-310.
S.N.El-Deeb, I.A.Hasanein, A.S.Mashhour and T.Noiri, On p-regular spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie, 27(1983), 311-315.
S.Jafari and T.Noiri, Contra α-continuous functions between topological spaces, Iranian Int. J. Sci., 2(2)(2001), 153-167.
S.Jafari, M.Caldas, T.Noiri and M.Simoes, A new generalization of contra continuity via Levine’s g-closed sets, Chaos, Solitons and Fractals, 32(2007), 1597-1603.
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.
A.S.Mashhour, M.E.Abd El-Monsef and S.N.El-Deeb, On precontinuous and weak pre continuous mappings, Proc. Math. and Phys. Soc. Egypt, 53(1982), 47-53.
A.S.Mashhour, I.A.Hasanein and S.N.El-Deeb, α-continuous and α-open mappings, Acta Math. Hungar., 41(1983), 213-218.
T.Nieminen, On Ultra pseudocompact and related topics, Ann. Acad. Sci. Fenn. Ser. A.I Math. 3(1977), 185-205.
O.Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
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
S. Rose Mary, A. Arivu Chelvam, & O. Ravi. (2015). Contra g∗-continuity and Separation Axioms. International Journal of Current Research in Science and Technology, 1(4), 25-31. Retrieved from https://crst.gfer.org/index.php/crst/article/view/19
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