Applications of Semi $^{\#}$g$\alpha$-closed Sets in Topological Spaces


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Authors

  • V. Kokilavani Department of Mathematics, Kongunadu Arts and Science College (Autonomous), Coimbatore, Tamilnadu, India
  • M. Vivek Prabu Department of Mathematics, Kongunadu Arts and Science College (Autonomous), Coimbatore, Tamilnadu, India

Keywords:

Semi $^{\#}$g$\alpha$-closed set, Semi $^{\#}$g$\alpha$-open set, Semi $^{\#}$g$\alpha$-closure, Semi $^{\#}$g$\alpha$-interior, Semi $^{\#}$g$\alpha$-border, Semi $^{\#}$g$\alpha$-frontier, Semi $^{\#}$g$\alpha$-exterior

Abstract

In this paper, we define some new sets namely semi $^\#$g$\alpha$-border, semi $^{\#}$g$\alpha$-frontier and semi $^{\#}$g$\alpha$-exterior which are denoted by semi $^{\#}$g$\alpha$-bd(A), semi $^{\#}$g$\alpha$-fr(A) and semi $^{\#}$g$\alpha$-ext(A), where A is any subset of X. We also examine the basic properties of these sets.

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Published

15-11-2015

How to Cite

V. Kokilavani, & M. Vivek Prabu. (2015). Applications of Semi $^{\#}$g$\alpha$-closed Sets in Topological Spaces. International Journal of Mathematics And Its Applications, 3(3 - D), 57–63. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/477

Issue

Vol. 3 No. 3 - D (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.