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Generalized h-Closed Sets in Topological Space | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 12, Volume 16, Issue 1, 2022, Pages 97-102 PDF (769.49 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2022.174413 | ||
| Author | ||
| Beyda S. Abdullah* | ||
| Department of Mathematics, College of Education for pure Sciences, University of Mosul, Iraq | ||
| 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 | ||
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