New Classes of Ideal Topological Quotient Maps
Keywords:
Ideal topological space, α⋆-I-open or α⋆ I-open set, semi∗-I-open set, pre∗ I-open set
Abstract
The purpose of this paper is to study the concept of quotient maps in ideal topological spaces and study some of its stronger forms.
References
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E.Ekici and T.Noiri, ∗-extremally disconnected ideal topological spaces, Acta Math. Hungar. 122(1-2)(2009), 81-90.
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M.Lellis Thivagar, A note on quotient mappings, Bull. Malaysian Math. Sci. Soc. (Second series), 14(1991), 21-30.
N.Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
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.
O.Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
O.Ravi, K.M.Dharmalingam, M.Meharin and P.Santhi, On Iπgα⋆-closed sets in ideal topological spaces, Journal of New Theory, 2(2015), 55-62.
I.L.Reilly and M.K.Vamanamurthy, On α-continuity in topological spaces, Acta Math. Hungar., 45(1-2)(1985), 27-32.
R.Vaidyanathaswamy R, Set topology, Chelsea Publishing Company, New York, (1960).
K.Viswanathan and J.Jayasudha, Some new sets and decompositions of α⋆-I-continuity and AIR-continuity via idealization, Malaya J. Matematik, S(1)(2013), 17-23.
E.Ekici and T.Noiri, ∗-hyperconnected ideal topological spaces, Analele Stiintifice Ale Universitatii Al I. Cuza Din Iasi - Serie Noua-Matematica, Tomul LVIII, 1(2012), 121-129.
E.Ekici and T.Noiri, ∗-extremally disconnected ideal topological spaces, Acta Math. Hungar. 122(1-2)(2009), 81-90.
K.Kuratowski, Topology, Vol. I, Academic Press, New York, (1966).
M.Lellis Thivagar, A note on quotient mappings, Bull. Malaysian Math. Sci. Soc. (Second series), 14(1991), 21-30.
N.Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
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.
O.Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
O.Ravi, K.M.Dharmalingam, M.Meharin and P.Santhi, On Iπgα⋆-closed sets in ideal topological spaces, Journal of New Theory, 2(2015), 55-62.
I.L.Reilly and M.K.Vamanamurthy, On α-continuity in topological spaces, Acta Math. Hungar., 45(1-2)(1985), 27-32.
R.Vaidyanathaswamy R, Set topology, Chelsea Publishing Company, New York, (1960).
K.Viswanathan and J.Jayasudha, Some new sets and decompositions of α⋆-I-continuity and AIR-continuity via idealization, Malaya J. Matematik, S(1)(2013), 17-23.
How to Cite
O.Ravi, L.Rajendran, J.Xavier Adaikalaraj, & C.Rajan. (2016). New Classes of Ideal Topological Quotient Maps. International Journal of Current Research in Science and Technology, 2(4), 13-20. Retrieved from https://crst.gfer.org/index.php/crst/article/view/67
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