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AL-Rafidain Journal of Computer Sciences and Mathematics

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Generalized h-Closed Sets in Topological Space

    Beyda S. Abdullah

AL-Rafidain Journal of Computer Sciences and Mathematics, 2022, Volume 16, Issue 1, Pages 97-102
10.33899/csmj.2022.174413

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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.
Keywords:
    h-closed set gh-closed set gh-continuous mapping separation axioms
Main Subjects:
  • Algebra
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(2022). Generalized h-Closed Sets in Topological Space. AL-Rafidain Journal of Computer Sciences and Mathematics, 16(1), 97-102. doi: 10.33899/csmj.2022.174413
Beyda S. Abdullah. "Generalized h-Closed Sets in Topological Space". AL-Rafidain Journal of Computer Sciences and Mathematics, 16, 1, 2022, 97-102. doi: 10.33899/csmj.2022.174413
(2022). 'Generalized h-Closed Sets in Topological Space', AL-Rafidain Journal of Computer Sciences and Mathematics, 16(1), pp. 97-102. doi: 10.33899/csmj.2022.174413
Generalized h-Closed Sets in Topological Space. AL-Rafidain Journal of Computer Sciences and Mathematics, 2022; 16(1): 97-102. doi: 10.33899/csmj.2022.174413
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