14 citations · 17 across the 3 of their papers we have counts for
3 papers
math.AT2012★ 3 cited
Strict \infty-groupoids are Grothendieck \infty-groupoids
Dimitri Ara
We show that there exists a canonical functor from the category of strict \infty-groupoids to the category of Grothendieck \infty-groupoids and that this functor is fully faithful.…
math.AT2012
On homotopy types modelized by strict \infty-groupoids
Dimitri Ara
The purpose of this text is the study of the class of homotopy types which are modelized by strict \infty-groupoids. We show that the homotopy category of simply connected \infty-g…
math.AT2012★ 14 cited
On the homotopy theory of Grothendieck \infty-groupoids
Dimitri Ara
We present a slight variation on a notion of weak \infty-groupoid introduced by Grothendieck in Pursuing Stacks and we study the homotopy theory of these \infty-groupoids. We prove…