Holmstrom Simplicial category

See Goerss-Jardine chapter VIII for simplicial cats and simplicial functors. This has applications to homotopy coherence. “The main result of this chapter (due to Dwyer and Kan, Theorem 2.13 below) is a generalization of the assertion that simplicial functors of the form $X : A \to sSet$ are equivalent to diagrams of the form $I \to sSet$ in the case where the simplicial category A is a resolution of the category I. ”

nLab page on Simplicial category