\(\mu\)-Pre\(^{*}\)- closed sets in generalized topological spaces

Downloads

DOI:

https://doi.org/10.26637/MJM0803/0105

Abstract

In this paper, we extend the notion of closed sets in ordinary topological spaces to \(\mu\)-Pre\(^{*}\)- closed sets in generalized topological spaces. Relationship between this closed set and other closed sets are established. Also we have investigated \(\mu\)-Pre\(^{*}\)-open sets, \(\mu\)-Pre\(^{*}\)-closure, \(\mu\)-Pre\(^{*}\)- interior and some of their basic properties.

Keywords:

\(\mu\)-pre\(^{*}\) -closed sets, \(\mu\)-pre\(^{*}\) - open sets, \(\mu\)-pre\(^{*}\) - closure, \(\mu\)-pre\(^{*}\)-interior

Mathematics Subject Classification:

Mathematics
  • P. Sivagami Department of Mathematics, Kamaraj college, Thoothukudi- 628003, Tamil Nadu, India.
  • M. Padmavathi Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli-627012, Tamil Nadu, India.
  • G. Hari Siva Annam Department of Mathematics, Kamaraj college, Thoothukudi- 628003, Tamil Nadu, India.
  • Pages: 1331-1336
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

Abd El-Monsef M. E,El-Deep S.N and Mahmoud. R.A, $beta$-open sets and $beta$-continuous mappings, Bull. Fac. Sci. Assiut Univ., 12(1983), 77-90.

Andrijevic D, Semi-pre open sets, Mat. Vesnik, 38 (1986), 24-32.

Bishwambhar Roy, Ritu Sen, On a class of sets between closed sets and - closed sets, Journal of Taibah University for Science, 2018, 1-10.

Csaszar A, Generalized open sets in Generalized Topologies, Acta Math, Hungar, 96(2002), 351-357.

AkosCsaszar, Further remarks on the formula for $gamma$ interior, Acta Mathematica Hungarica, (2006), 10-25.

Csaszar A, Generalized open sets in Generalized Topologies, Acta Math, Hungar, 106(2005), 53-66.

Devi R, Maki H, Balachandran K, Semi generalized closed maps and generalized closed maps, Mem. Fac. Kochi univer. A. Math., 14(1993), 41-54.

Hari siva Annam. G, On some new class of nearly closed and open sets, IJMA, 5(11)(2014), 47-52.

Maki H; Devi R, Balachandran K, Associated topologies of generalized $alpha$-closed maps and $alpha$-generalized closed maps, Mrm. Fac. Kochi univer. A. Math., 15(1994), 57-63.

Palaniappan N and Rao K. C, Regular Generalized closed sets, Kyngpook. Math. J., 1733(2)(1993), 211-219.

Roy.B, on a type of generalized open sets, Appl, Gen. Topol., 12(2)(2011), 163-173.

Sivagami.P, Sivaraj. D, Note on Generalized open sets, Acta Mathematica Hungarica, 117(4)(2002), 335-340.

  • NA

Metrics

Metrics Loading ...

Published

01-07-2020

How to Cite

P. Sivagami, M. Padmavathi, and G. Hari Siva Annam. “\(\mu\)-Pre\(^{*}\)- Closed Sets in Generalized Topological Spaces”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 1331-6, doi:10.26637/MJM0803/0105.