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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 7 | Year 2021 | Article Id. IJMTT-V67I7P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I7P522

Strong 𝛽-ℋ-Open Sets In Generalized Topological Space


R. Shankar, D.Sivaraj
Abstract

The aim of this paper is to characterize and discuss the properties of strong 𝛽-ℋ-open sets in a generalized topological space (𝑋, 𝜆) with a hereditary class ℋ.

Keywords
Hereditary class, Pre-ℋ-open set, ℋ𝑅-closed set, Semi- ℋ-open set, 𝑆𝑒𝑚𝑖 ∗ − ℋ-closed set, Strong 𝛽-ℋ-open set.
References

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[7] K.Karuppayi, Some subsets of GTS with hereditary classes, Journal of Advanced Studies in Topology5 (1) 25-33.
[8] K.Karuppayi, A Note on δ - H sets in GTS with hereditary classes, International Journal of Mathematical Archive-5(1) (2014) 226-229.
[9] K.Karuppayi, A Note on RH-open sets in GTS with hereditary classes, International Journal of Mathematical Archive-5(1) (2014) 312-316.
[10] R.Shankar, A.P. Ponraj and D. Sivaraj Weakly semi-H-open sets and almost strong H-k-open sets, International Journal of Pure and Applied Mathematics, 117 (17) (2017) 7-13
[11] A.P.Ponraj, R. Shankar, D.Sivaraj, HR-closed set in Generalized topological space, International Journal of Pure and Applied Mathematics, 119(15) (2018) 2153-2158.
[12] R. Shankar, A.P.Ponraj, D.Sivaraj, AHR-sets in Generalized topological space, International Journal of Pure and Applied Mathematics, 119(15) (2018) 2165-2170.

Citation :

R. Shankar, D.Sivaraj, "Strong 𝛽-ℋ-Open Sets In Generalized Topological Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 7, pp. 183-186, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I7P522

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