ScalingStacks

We obtain as in (8.1.1) isomorphisms functorial in $S$ and $T$

(8.1.5)

$$\operatorname{colim}\nolimits_{r\to\infty}\operatorname{Hom}\nolimits_{{\mathcal{S}}^{\bullet}_{M}(Z)}(T\sqcup\xi^{\prime}(\{m_{-r},\ldots,m_{-r-n+1}\}),S)\mathrel{\mathop{\kern 0.0pt\to}\limits^{\sim}}R^{\bullet}(S,T,e^{n}).$$