Stacks and sheaves of categories as fibrant objects

Autor:	Stanculescu, Alexandru E.
Rok vydání:	2014
Předmět:	Mathematics - Category Theory
Druh dokumentu:	Working Paper
Popis:	We show that the category of categories fibred over a site is a generalized Quillen model category in which the weak equivalences are the local equivalences and the fibrant objects are the stacks, as they were defined by J. Giraud. The generalized model category restricts to one on the full subcategory whose objects are the categories fibred in groupoids. We show that the category of sheaves of categories is a model category that is Quillen equivalent to the generalized model category for stacks and to the model category for strong stacks due to A. Joyal and M. Tierney. Comment: v2: uploaded more material, final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.0536 Zobrazit plný text záznamu View this record from Arxiv