0MXG Example 2.8. As an application we obtain a weight complex functor for the Chow weight structure t:DMgm(k,ℚ)→Kb(Chow(k,ℚ)),t:\operatorname{DM}_{gm}(k,\mathbb{Q})\to\operatorname{K}^{b}(\operatorname{Chow}(k,\mathbb{Q})), see Example 2.2(3). Here we use that DMgm(k,ℚ)\operatorname{DM}_{gm}(k,\mathbb{Q}) has an enhancement as a stable ∞\infty-category.