• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology

Article

Some Kinds of Separation Axioms in Kasaj Topological Spaces
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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i41.1509

Year: 2023, Volume: 16, Issue: 41, Pages: 3575-3582

Original Article

Some Kinds of Separation Axioms in Kasaj Topological Spaces

K S Viplavanjali1*, P Sathishmohan2, E Prakash2, K Rajalakshmi3

1Research Scholar, Department of Mathematics, Kongunadu Arts and Science College (Autonomous), Coimbatore, 641 029, Tamil Nadu, India
2Assistant Professor, Department of Mathematics, Kongunadu Arts and Science College (Autonomous), Coimbatore, 641 029, Tamil Nadu, India
3Assistant Professor, Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore, 641 008, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:19 June 2023, Accepted Date:23 September 2023, Published Date:31 October 2023

Creative Commons License

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

Abstract

Objectives: The separation axioms are about the use of Kasaj topology to distinguish disjoint sets and distinct points. Methods: Any two Kasaj topologically distinguishable points must be distinct, and any two separated points must be Kasaj topologically distinguishable. Findings: New classes of separation axioms in Kasaj topological space namely, KSg, KSgs and KSsg spaces by utilizing KSg, KSgs and KSsg- open and closed sets are introduced and studied. Several of their fundamental characterizations and their relationships with other corresponding kinds of spaces are discussed. Novelty: In our paper work using the relation among the spaces are graphically illustrated as direct graphs. AMS Subject Classifications: 54A05, 54B05, 54A99

Keywords: KS-semi-Ti(i ≤ 4) spaces, KSα-Ti(i ≤ 4) spaces, KSg-Ti(i ≤ 4) spaces, KSgs-Ti(i ≤ 4) spaces, KSsg -Ti(i ≤ 4) spaces

References

  1. Rachchh KG, SIG. On Kasaj Topological Spaces. Malaya Journal of Matematik. 2020;8(4):1766–1770. Available from: https://doi.org/10.26637/MJM0804/0073
  2. Rachchh KG, Ghanchi SI, Soneji AA. On Kasaj Generalized Closed Sets in Kasaj Topological Spaces. Journal of Emerging Technologies and Innovative Research (JETIR) . 2020;7(12):646–651. Available from: https://www.jetir.org/papers/JETIR2012081.pdf
  3. Prakash E, Sathishmohan P, Viplavanjali KS, Rajalakshmi K. On Kasaj Generalized Semi and Semi Generalized Closed Sets in Kasaj Topological Space. Indian Journal of Natural Sciences. 2022;13(75):49792–49796. Available from: https://tnsroindia.org.in/JOURNAL/issue75/ISSUE%2075%20DECEMBER%202022%20-%20FULL%20TEXT%20PART%2001.pdf
  4. Mhemdi A, Al-shami TM. Functionally Separation Axioms on General Topology. Journal of Mathematics. 2021;2021:1–5. Available from: https://doi.org/10.1155/2021/5590047

Copyright

© 2023 Viplavanjali 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)

  • 31 October 2023

Year: 2023, Volume: 16, Issue: 41

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