Generalized h-Closed Sets in Topological Space

This study introduce a new type of closed sets in topology called Generalized h-closed sets (briefly, gh-closed) define as follow: E be gh-closed set if CLh (E) U whenever E U and U is open set in (,).The relation between gh-closed set and other classes of closed sets ( h-closed, g-closed, g -closed, g-closed and g-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.