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Archives › Volume 11, Number 6 (2021)

J. Math. Comput. Sci. 11 (2021), 8323–8341

Λrs - open sets and Λrs - closed sets in topological spaces

G. Amutha, A. P. Dhana Balan

Abstract

In [16] Maki has introduced the concept of Λ-sets in topological spaces as the sets that coincide with their kernel. The kernel of a set A is the intersection of all open supersets of A. In this paper we obtain new classes of sets by using regular semi open sets in topological spaces and study their basic properties, and their connections with other kind of topological sets.

Published
10 November 2021
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2021 G. Amutha, A. P. Dhana Balan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

G. Amutha, A. P. Dhana Balan, Λrs - open sets and Λrs - closed sets in topological spaces, J. Math. Comput. Sci. 11 (2021), 8323–8341. https://doi.org/10.28919/jmcs/6687

BibTeX
@article{Amutha2021,
  author  = {Amutha, G. and Dhana Balan, A. P.},
  title   = {Λrs - open sets and Λrs - closed sets in topological spaces},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {8323--8341},
  doi     = {10.28919/jmcs/6687}
}