New Type of Generalized Closed Sets in Topological Spaces


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Authors

  • M. Raja Bharathidhasan University, Tiruchirappalli, Tamil Nadu, India
  • N. Seenivasagan Department of Mathematics, Government Arts College(Autonomous), Kumbakonam, Tamil Nadu, India
  • O. Ravi Controller of Examinations, Madurai Kamaraj University, Madurai, Tamil Nadu, India

Keywords:

$B$-set, generalized closed set, $\delta g$-closed set, $\delta$-closure of a subset

Abstract

In this paper two new classes of sets, namely $B\delta g$-closed sets and $B\delta g$-open sets are to be introduced and studied in topological spaces. We prove that this class of $B\delta g$-closed sets lies between the class of $\delta$-closed sets and the class of $\delta g$-closed sets. Also we find some relations between $B\delta g$-closed sets and already existing closed sets. Further we discuss their characterisations and obtain their applications.

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Published

15-06-2018

How to Cite

M. Raja, N. Seenivasagan, & O. Ravi. (2018). New Type of Generalized Closed Sets in Topological Spaces. International Journal of Mathematics And Its Applications, 6(2 - B), 67–74. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/702

Issue

Vol. 6 No. 2 - B (2018)

Section

Research Article

License

Creative Commons License

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

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