Strict -groupoids are Grothendieck -groupoids

• Autores: Dimitri Ara
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 12, 2013, págs. 2298-2312
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2013.03.008
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• Resumen

  • We show that there exists a canonical functor from the category of strict��-groupoids to the category of Grothendieck��-groupoids and that this functor is fully faithful. As a main ingredient, we prove that free strict��-groupoids on a globular pasting scheme are weakly contractible.