Decompositions of g∗-continuity
Keywords:
gt∗-set, gα∗∗-set, gt∗-continuity, gα∗∗-continuity
Abstract
Some new topological sets are introduced and studied. Using the new notions, decompositions of g∗-continuity are obtained.
References
E.Hatir, T.Noiri and S.Yuksel, A decomposition of continuity, Acta Math. Hungar., 70(1-2) (1996), 145-150.
N.Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68 (1961), 44-46.
N.Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2)(1970), 89-96.
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.
O.Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
M.Przemski, A decomposition of continuity and α-continuity, Acta Math. Hungar., 61 (1991), 93-98.
O.Ravi, Decomposition of α-continuity and gα∗ -continuity, Preprint.
O.Ravi, M.L.Thivagar and E.Ekici, Decomposition of (1,2)*-continuity and complete (1,2)*-continuity in bitopological spaces, Analele Universitatii Din Oradea. Fasc. Matematica Tom, XV(2008), 29-37.
O.Ravi, M.L.Thivagar and E.Hatir, Decomposition of (1,2)*-continuity and (1,2)*-α-continuity, Miskolc Mathematical Notes., 10(2)(2009), 163-171.
O.Ravi, E.Ekici and M.Lellis Thivagar, On (1,2)*-sets and decompositions of bitopological (1,2)*-continuous mappings, Kochi J. Math., 3(2008), 181-189.
D.Rose, On Levine’s decomposition of continuity, Canad. Math. Bull., 21(1978), 477-481.
J.Tong, A decomposition of continuity, Acta Math. Hungar., 48(1986), 11-15.
J.Tong, On decomposition of continuity in topological spaces, Acta Math. Hungar., 54(1989), 51-55.
N.Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68 (1961), 44-46.
N.Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2)(1970), 89-96.
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.
O.Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
M.Przemski, A decomposition of continuity and α-continuity, Acta Math. Hungar., 61 (1991), 93-98.
O.Ravi, Decomposition of α-continuity and gα∗ -continuity, Preprint.
O.Ravi, M.L.Thivagar and E.Ekici, Decomposition of (1,2)*-continuity and complete (1,2)*-continuity in bitopological spaces, Analele Universitatii Din Oradea. Fasc. Matematica Tom, XV(2008), 29-37.
O.Ravi, M.L.Thivagar and E.Hatir, Decomposition of (1,2)*-continuity and (1,2)*-α-continuity, Miskolc Mathematical Notes., 10(2)(2009), 163-171.
O.Ravi, E.Ekici and M.Lellis Thivagar, On (1,2)*-sets and decompositions of bitopological (1,2)*-continuous mappings, Kochi J. Math., 3(2008), 181-189.
D.Rose, On Levine’s decomposition of continuity, Canad. Math. Bull., 21(1978), 477-481.
J.Tong, A decomposition of continuity, Acta Math. Hungar., 48(1986), 11-15.
J.Tong, On decomposition of continuity in topological spaces, Acta Math. Hungar., 54(1989), 51-55.
How to Cite
S. Rose Mary, T. Kavitha, & O. Ravi. (2015). Decompositions of g∗-continuity. International Journal of Current Research in Science and Technology, 1(4), 11-16. Retrieved from https://crst.gfer.org/index.php/crst/article/view/17
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