• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2023, Volume: 16, Issue: 42, Pages: 3764-3770

Original Article

A Note on Separation Axioms in Kasaj Topological Spaces

Received Date:19 June 2023, Accepted Date:26 September 2023, Published Date:13 November 2023


Objectives: The separation axioms are about the use of kasaj topological means to distinguish disjoint sets and distinct points and the purpose of this work is to investigate the spaces namely KSgp[KSgsp]-T0 spaces, KSgp[KSgsp]-T1 spaces, KSgp[KSgsp]-T2 spaces by utilizing KSgp[KSgsp]-open sets in Kasaj topological spaces. Also, we discuss their relationship with existing concepts in Kasaj topological spaces. Methods: Any two Kasaj topologically distinguishable points must be distinct, and any two separated points must be Kasaj topologically distinguishable. Finding: This study consists of three separation axioms namely -T0 spaces, -T1 spaces, -T2 spaces by utilizing -open sets in Kasaj topological spaces. Novelty: This study uses their relationship with existing concepts in Kasaj topological spaces. AMS Classification: 54A05,54B05,54A99.

Keywords: KSgp-T0 spaces; KSgsp-T0 space; KSgp-T1 spces; KSgsp-T1 spaces; KSgp-T2 spaces; KSgsp-T2 spaces


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© 2023 Sindhu 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)


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