ScalingStacks

Corollary 1 We have a canonical splitting of complexes

$$\overline{C}((V\oplus W)\otimes E_{\mathcal{I}})=\overline{C}(V\otimes E_{\mathcal{I}})\oplus\overline{C}(W\otimes E_{\mathcal{I}})$$

(39)

where $V$ and $W$ are $\mathcal{I}$-cubes over $R{\mbox{-mod}_{0}}.$