In generalized topological spaces \((X,\tau)\) (axioms for open sets are weakened), the authors define \(g\)-closed sets as usually: \(\overline{A}\subset \bigcap \{U;U\in\tau, A\subset U\}\). Using convenient systems for \(\tau\) depending on a given topology \(t\) on \(X\), various known generalized closed sets on \((X,t)\) are obtained.