On Topological ψ*α -Quotient Mappings

N. Balamani; A. Parvathi

doi:https://doi.org/10.14445/22315373/IJMTT-V48P529

International Journal of Mathematics Trends and Technology

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Volume 48 | Number 3 | Year 2017 | Article Id. IJMTT-V48P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P529

On Topological ψ*α -Quotient Mappings

N. Balamani, A. Parvathi

Abstract

Only a few class of generalized closed sets form a topology. The class of  * α-closed set is one among them. In this paper we introduce  * α - quotient maps using  * α -closed sets and study their properties. Also we obtain the relations between weak and strong form of  * α -quotient maps. We also study the relationship between  * α - quotient maps and already existing quotient maps.

Keywords

ψg-closed sets, ψg-open sets, ψ*α-closed sets, ψ*α-open sets and ψ*α-quotient map.

References

[1] N.Balamani, and A. Parvathi, “Between α - closed sets and g α - closed sets,” International Journal of Mathematical Archive, 7(6), pp.1-10, 2016.
[2] N.Balamani, and A. Parvathi, “Separation axioms by ψ*α -closed sets,” International Journal of Engineering Sciences & Research Technology,5(10), pp.183-186, 2016.
[3] N.Balamani, and A. Parvathi, “ψ*α -continuous maps,” International Journal of Advanced Research, 4(11), pp.1105-1109, 2016.
[4] N.Balamani, and A. Parvathi, “ψ*α - irresolute maps, quasi ψ*α -continuous maps and perfectly ψ*α -continuous maps.” Advances in Fuzzy Mathematics, 12(3), pp.539-548, 2017.
[5] P. Bhattacharyya, and B.K Lahiri, “Semi-generalized closed sets in topology,” Indian J. Math., 29, pp.376-382, 1987.
[6] M.Lellis Thivagar, “A note on quotient mappings,” Bull. Malaysian Math. Soc. 14, pp 21-30, 1991.
[7] N.Levine, “Generalized closed sets in topology,” Rend. Circ. Math. Palermo,19, pp. 89-96, 1970.
[8] A.S.Mashhour, I.A. Hasanein, and S.N. EI-Deeb, 1983, “α - continuous and α - open mappings,” Acta. Math. Hungar, 41, pp. 213 – 218, 1983.
[9] J.R.Munkres, Topology, A first course, Fourteenth Indian Reprint.
[10] O.Njastad, On some classes of nearly open sets, Pacific J. Math. 15, pp.961-970,1965.
[11] N.Ramya, and A. Parvathi,A, “A study on ψg -closed sets in topological bitopological and biminimal structure spaces,” Ph.D Thesis, Avinashilingam University, Coimbatore, 2013.
[12] M.K.R.S. Veera Kumar, “Between semi-closed sets and semi- pre closed sets”, Rend. Istit. Mat. Univ. Trieste, (ITALY) XXXXII, pp.25-41, 2000.

Citation :

N. Balamani, A. Parvathi, "On Topological ψ*α -Quotient Mappings," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 3, pp. 209-213, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P529