ScalingStacks

Definition 2.3. A collection of objects $\mathcal{T}$ in a triangulated category $\mathcal{C}$ is called positive, negative or tilting, respectively, if

$$\operatorname{Hom}_{\mathcal{C}}(M,N[n])=0$$

for all $M,N\in\mathcal{T}$ where $n<0,n>0$ or $n\neq 0,$ respectively.