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

We introduce a new class of sets namely \((1, 2)^\star\)-\(\check{g}_\alpha\)-closed sets, 2)^\star\)-\(\Lambda_{\mathcal{G}}\)-set, 2)^\star\)-\(\lambda_{\mathcal{G}}\)-set and 2)^\star\)-\(\check{g}_\alpha\)-Locally closed are study in bitopological spaces. prove that this classes lies between 2)^\star\)-\(\alpha\)-closed 2)^\star\)-\(\alpha g\)-closed sets. Furthermore, we discuss some essen...