Reedy model categories

Abstract

This chapter contains an exposition of the Bousfield-Kan model structure on the category c S of cosimplicial objects in simplicial sets, also known as cosimplicial spaces. It appears here as the dual of a Reedy model category structure on the category of simplicial objects sC in a suitable closed model category C. Another standard example of a Reedy structure on a simplicial object category is the Reedy structure on the category of bisimplicial sets, or simplicial objects in simplicial sets — see Section IV.3.