Simplicial Operads and ∞-Operads

Abstract In this final chapter we fulfil one of the main promises book, namely prove that homotopy theory ∞-operads is equivalent to simplicial (or topological) operads. To prepare for this, Sections 14.1 and 14.2 establish some rather classical material on categories, most it going back work Dwyer Kan. Then in Section 14.3 a model structure category operads which weak equivalences are fully faithful essentially surjective maps (in an appropriate interpretation those terms).