Contents

model category

for ∞-groupoids

# Contents

## Statement

Write

###### Proposition

(Quillen equivalence between simplicial groups and reduced simplicial sets)

The

in a Quillen equivalence between the projective model structure on simplicial groups and the injective model structure on reduced simplicial sets.

$Groups(sSet)_{proj} \underoverset {\underset{\overline{W}}{\longrightarrow}} {\overset{ \Omega }{\longleftarrow}} {\;\;\;\;\; \simeq_{\mathrlap{Qu}} \;\;\;\;\;} (sSet_{\geq 0})_{inj} \,.$

## References

Created on July 4, 2021 at 07:47:36. See the history of this page for a list of all contributions to it.