on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
In enriched model category theory, an enriched Quillen adjunction is an enriched adjunction whose underlying ordinary adjunction is a Quillen adjunction between ordinary model categories.
Here “underlying” refers to the underlying ordinary category of any -enriched category, defined by . (Recall that an enriched model category is an enriched category, together with a model structure on its underlying ordinary category, and some compatibility conditions.)
A special role is played by sSet-enriched Quillen adjunctions, for the standard model structure on simplicial sets. See simplicial Quillen adjunction for more on that.
Last revised on September 20, 2018 at 13:20:19. See the history of this page for a list of all contributions to it.