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arXiv:1212.3085 [math.AT]AbstractReferencesReviewsResources

Strict \infty-groupoids are Grothendieck \infty-groupoids

Dimitri Ara

Published 2012-12-13, updated 2013-04-03Version 2

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.

Comments: 22 pages, v2: revised according to referee's comments, in particular: new organization of the paper
Journal: Journal of Pure and Applied Algebra 217(12) (2013), 2298-2312
Categories: math.AT, math.CT
Subjects: 18D05, 18G55, 55P15, 55Q05, 55U40
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