A New Closure and Interior Operators via V-Closed Setsand V-Open Sets

S.Saranya; Dr.K.Bageerathi

doi:https://doi.org/10.14445/22315373/IJMTT-V53P554

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 6 | Year 2018 | Article Id. IJMTT-V53P554 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P554

A New Closure and Interior Operators via V-Closed Setsand V-Open Sets

S.Saranya, Dr.K.Bageerathi

Abstract

The purpose of this paper is to introduce the some operators via v-open sets and v-closed sets in topological spaces and obtain some of interesting properties of these operators.

Keywords

v-open, v-closed, v-interior, v-closure.

References

[1] Dunham, W., A New Closure Operator for Non-T1 Topologies, Kyungpook Math. J. 22 (1982), 55-60.
[2] Levine, N., Semi-Open Sets and Semi-Continuity in Topological Space, Amer. Math. Monthly. 70 (1963), 36-41.
[3] Levine, N., Generalized Closed Sets in Topology, Rend. Circ. Mat. Palermo.19 (2) (1970), 89-96.
[4] Robert, A., and Pious Missier, S. A New Class of Nearly Open Sets, International Journal of mathametical archive, International Journal of Mathematical Archive-3(7), 2012, 2575-2582.
[5] Saranya, S., and Bageerathi. K., International Journal of Mathematical Archive-8(12), 2017, 140-144.
[6] Selvi. T and A. Punitha Dharani, Some new class of nearly closed and open sets, Asian Journal of Current Engineering and Maths 1:5 Sep – Oct (2012) 305-307.

Citation :

S.Saranya, Dr.K.Bageerathi, "A New Closure and Interior Operators via V-Closed Setsand V-Open Sets," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 6, pp. 437-440, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P554