Bounded t-structures

Definition 6.3.32. A t-structure on \(C\) is right bounded if every object \(X \in C\) is contained in \(C_{\geq n}\) for some \(n \in \Z \). It is left bounded if every \(X \in C\) is contained in \(C_{\leq n}\) for some \(n \in \Z \). It is bounded if it is both left and right bounded.