On Micro bgp - Closed Sets in Micro Topological Spaces

R Vijayalakshmi; V Thiripurasundari

doi:10.17485/IJST/v16iSP4.ICAMS106

Article

On Micro bgp - Closed Sets in Micro Topological Spaces

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16iSP4.ICAMS106

Year: 2023, Volume: 16, Issue: Special Issue 4, Pages: 18-21

Original Article

On Micro bgp - Closed Sets in Micro Topological Spaces

R Vijayalakshmi^1*, V Thiripurasundari²

¹Research Scholar, PG and Research Department of Mathematics, Sri S. Ramasamy Naidu Memorial College (Autonomous), Sattur, Affiliated to Madurai Kamaraj University, Madurai, Tamil Nadu, India
²Assistant Professor, PG and Research Department of Mathematics, Sri S. Ramasamy Naidu Memorial College (Autonomous), Sattur, Affiliated to Madurai Kamaraj University, Madurai, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:12 October 2023, Accepted Date:22 November 2023, Published Date:25 December 2023

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

Abstract

Objective: To introduce a new class of sets namely Micro- -closed (briefly -closed) sets in Micro topological spaces. Methods: The study investigated the concepts of -closed sets and brief study of -closed set was made. Findings: We derived the inter-relations between -closed sets with already existing Micro closed sets in Micro topological spaces and found some of its basic properties. Novelty: Application of -sets to introduce a new class of space namely -space.

Keywords: Micro open set, Micro- open set, -closed set, - open set, -space

References

Chandrasekar S. On Micro topological spaces. Journal of New Theory. 2019;(26) 23–31. Available from: https://dergipark.org.tr/en/pub/jnt/issue/42082/506329
Thiripurasundari V, Vijayalakshmi R. A New type of Generalized Closed Set in Topological Spaces. Journal of Information and Computational Science. 2019;9(10). Available from: http://www.joics.org/gallery/ics-1552.pdf
Ibrahim HZ. Micro β-open sets in Micro topology. General Letters in Mathematics. 2020;8(1):8–15. Available from: https://www.refaad.com/Files/GLM/GLM-8-1-2.pdf
Ibrahim HZ. On Micro T1/2 -space. International Journal of Applied Mathematics. 2020;33(3):369–384. Available from: https://doi.org/10.12732/ijam.v33i3.1
Sandhiya S, Balamani N. Micro g* -closed sets in Micro Topological Spaces. Journal of Research in Applied Mathematics. 2022;8(4):16–20. Available from: https://www.questjournals.org/jram/papers/v8-i4/B08041115.pdf
Sowmiya T, Balamani N. Micro ψ-Closed Sets in Micro Topological Spaces. Quest Journals. Journal of Research in Applied Mathematics. 2022;8(4):11–15. Available from: https://www.questjournals.org/jram/papers/v8-i4/B08041115.pdf

Copyright

© 2023 Vijayalakshmi & Thiripurasundari. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)