Separation Axioms through Nano JD open set

S Jackson; T Gnanapoo Denosha; P Mariappan

doi:10.17485/IJST/v17sp1.252

Article

Separation Axioms through Nano JD open set

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17sp1.252

Year: 2024, Volume: 17, Issue: Special Issue 1, Pages: 9-13

Original Article

Separation Axioms through Nano JD open set

S Jackson^1*, T Gnanapoo Denosha², P Mariappan¹

¹Assistant Professor, P. G. and Research Department of Mathematics, V.O. Chidambaram College, Thoothukudi, Tamil Nadu, India
²Assistant Professor, Department of Mathematics, Vignan’s Foundation for Science, Technology and Research (Deemed to be University), Guntur, Andhra Pradhesh

*Corresponding Author
Email: [email protected]

Received Date:29 August 2023, Accepted Date:05 March 2024, Published Date:25 May 2024

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

Abstract

Objective: This study aims to introduce NanoJD- spaces ( =0,1,2) using Nano JD open set and investigate their properties. Methods: To deal with the separation axioms first we need to find the NanoJD- spaces ( =0,1,2)using Nano JD open set. Findings: We can find Nano JD- spaces ( =0,1,2) using Nano JD open sets. Novelty: Various characterization of these spaces are discussed. Also, the relationship among themselves and with known separation axioms are to be studied.

Keywords: Nano JD Open sets, Separation Axioms, NanoJD T 0 space, Nano JD T 1 space, Nano JD T 2 space

References

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Copyright

© 2024 Jackson et al. 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)