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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 26th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Danny Stevenson]], _Décalage and Kan's simplicial loop group functor_, Theory and Applications of Categories, Vol. 26, 2012, No. 28, pp 768-787 ([arXiv:1112.0474](https://arxiv.org/abs/1112.0474), [tac:26-28](http://www.tac.mta.ca/tac/volumes/26/28/26-28abs.html)) <a href="https://ncatlab.org/nlab/revision/diff/simplicial+loop+space/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/simplicial+loop+space/4">v4</a>, <a href="https://ncatlab.org/nlab/show/simplicial+loop+space">current</a>

   added pointer to

   • Danny Stevenson, Décalage and Kan’s simplicial loop group functor, Theory and Applications of Categories, Vol. 26, 2012, No. 28, pp 768-787 (arXiv:1112.0474, tac:26-28)

   diff, v4, current

2. • CommentRowNumber2.
   • CommentAuthorDmitri Pavlov
   • CommentTimeJun 5th 2021
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexThis adjunction is a [[Quillen adjunction]] for the [[Kan–Quillen model structure]] on [[pointed simplicial sets]] and its [[transferred model structure]] on [[simplicial groups]]. When restricted to [[reduced simplicial sets]], this [[Quillen adjunction]] becomes a [[Quillen equivalence]]. <a href="https://ncatlab.org/nlab/revision/diff/simplicial+loop+space/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/simplicial+loop+space/8">v8</a>, <a href="https://ncatlab.org/nlab/show/simplicial+loop+space">current</a>

   This adjunction is a Quillen adjunction for the Kan–Quillen model structure on pointed simplicial sets and its transferred model structure on simplicial groups.

   When restricted to reduced simplicial sets, this Quillen adjunction becomes a Quillen equivalence.

   diff, v8, current