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arXiv · 1212.3085

Strict \infty-groupoids are Grothendieck \infty-groupoids

Dimitri Ara
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Abstract

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. As a main ingredient, we prove that free strict \infty-groupoids on a globular pasting scheme are weakly contractible.

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Dimitri Ara. 2012-12-13. Strict \infty-groupoids are Grothendieck \infty-groupoids. https://doi.org/10.1016/j.jpaa.2013.03.008

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