nLab
simplicial resolution

Idea

In any ambient category or -category C that admits a notion of colimit or weak colimit, a simplicial resolution of an object cC is a simplicial object y :Δ opC such that it realizes c as a colimit

ccolim [k]y k.c \simeq colim_{[k]} y_k \,.

Examples

References

Simplicial resolutions in the context of presentable (infinity,1)-categories are discussed in section 6.1.4 of

(below lemma 6.1.4.3)