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.KeywordsSimplicial ObjectNatural IsomorphismLeft AdjointLift PropertyLift ProblemThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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