Stacks and Sheaves of Categories as Fibrant Objects , I

@inproceedings{Stanculescu2014StacksAS,
  title={Stacks and Sheaves of Categories as Fibrant Objects , I},
  author={Alexandru Emil Stanculescu},
  year={2014}
}
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… CONTINUE READING