On Pre Generalized μ * -Closed Set In Topological Spaces

S. Mariyammal; Dr. E. Sucila

doi:https://doi.org/10.14445/22315373/IJMTT-V66I1P526

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 1 | Year 2020 | Article Id. IJMTT-V66I1P526 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I1P526

On Pre Generalized μ * -Closed Set In Topological Spaces

S. Mariyammal, Dr. E. Sucila

Abstract

In this article, we introduce a new class of sets called pre generalized μ * - closed sets in topological spaces (briefly pg μ * - closed set). Also we discuss some of their properties and investigate the relations between the associated topology.

Keywords

pg μ * star-closed set, sg-closed sets, gb-closed sets, rgb-closed sets and gp* - closed sets

References

[1] Benchalli.S.S and Wali.R.S, On RW-closed sets in topological spaces, Bull. Malaysian. Math. Sci. Soc., 30(2007), 99-110.
[2] Cameron. D. E, Properties of S-closed spaces, Proc. Amer. Math. Soc. 72(1978), 581-586.
[3] Dontchev.J, On generalizing semi-preopen sets, Mem. Fac. Sci. Kochi Univ. Ser. A. Math. 16(1995), 35-48.
[4] Gnanmbal. Y, On generalized preregular closed sets in toplogical spaces, Indian J. Pure. Appl. Math., 38 28(3)(1997), 351-360.
[5] Levine.N, Generalized closed sets in topology, Rend. Circ. Mat. Palermo 19(2) (1970), 89-96.
[6] Levine.N, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly. 70(1963), 36-41.
[7] Maki.H, Umehara. J and Noiri. T, Every topological space is pre-T1/2 space, Mem. Fac. Sci. Kochi Univ. Ser. A. Math. 17(1996), 33- 42.
[8] Mashhour.A.S., Abd El-Monsef.M.E. and El-Deeb.S.N. On pre-continuous and weak pre-continuous mappings, Proc. Math. and Phys. Soc. Eqypt, 53(1982), 47-53.
[9] Sanjay Mishra, Varun Joshi and Nitin Bhardwaj, On generalized pre regular weakly (gprw) -closed sets in topological spaces, International Mathematical Forum, 40(2012), 1981-1992.
[10] Sheik John.M and Sundaram, On ω-closed sets in topology, Acta Ciencia Indica, 4(2000), 389-392.
[11] Stone. M, Application of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41(1937), 374-381.
[12] Veerakumar.M.K.R.S, g*-Closed sets in topological spaces, Mem. Fac. Sci. Kochi Univ. Math, 21(2000), 1-19.

Citation :

S. Mariyammal, Dr. E. Sucila, "On Pre Generalized μ * -Closed Set In Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 1, pp. 208-211, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I1P526