Remarks on strong ?^*-H-Open Set in GTS via Hereditary Class

R. Shankar¹

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.2 , pp.27-31, Apr-2024

Online published on Apr 30, 2024

Copyright © R. Shankar . 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.
 

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Abstract :
The aim of this paper is to introduce and study the properties of strong ?^*-H-open sets. Also, we establish some of their properties and establish some characterization in a generalized topological space (X,?) with a hereditary class H. We discuss various characterization ?^*-H-open set are given and properties of such sets are discussed. Finally we investigate various definitions using ?^*-H-open sets in a generalized topological space (X,?) with a hereditary class H.

Key-Words / Index Term :
Hereditary class, pre-H-open set, semi-H-open, ?-H-open set, ?^*-H-open set, weakly semi- H-open set and strong ?-H-open set.

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