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Keywords

h-closed set
gh-closed set
gh-continuous mapping
separation axioms

Abstract

This study introduce a new type of closed sets in topology called Generalized h-closed sets (briefly, gh-closed) define as follow: E  ⊆ χ  be gh-closed set if CLh (E)⊆ U  whenever E ⊆ U and U is open set in (χ,τ). The relation between gh-closed set and other classes of closed sets ( h-closed, g-closed, g -closed, g-closed and αg-closed) are studied. Also, the notion of gh-continuous mapping on topological space is introduce and some properties are proved. Finally, the separation axioms have been studied.
https://doi.org/10.33899/csmj.2022.174413
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