g-$\mathcal{H}$-regular and g-$\mathcal{H}$-normal Hereditary Spaces
Keywords:
Generalized Topological spaces, Hereditary classes, Hg-closed sets, g-H-normal spaces, g-H-regular spaces, Urysohn’s Lemma, Tietze Extension Theorem.Abstract
This paper presents the introduction of the concept of $g$-$\mathcal{H}$-regularity within the context of hereditary
spaces. It delves into an exploration of various properties associated with $g$-$\mathcal{H}$-normality, offering proofs
for some of these properties. Additionally, the paper investigates the characterization of $g$-$\mathcal{H}$-normality
through the application of modified versions of Urysohn's lemma and the famous Tietze Extension Theorem.
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Published
2024-09-01
How to Cite
Bala, R. (2024). g-$\mathcal{H}$-regular and g-$\mathcal{H}$-normal Hereditary Spaces. International Journal of Maps in Mathematics, 7(2), 273–283. Retrieved from https://simadp.com/journalmim/article/view/7-2-10
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