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We revisit what we call the fibred topology on a fibred category over a site and we prove a few basic results concerning this topology. We give a general result concerning the invariance of a 2-category of stacks under change of base.
@article{TAC_2016_31_a10, author = {Alexandru E. Stanculescu}, title = {Stacks and sheaves of categories as fibrant objects, {II}}, journal = {Theory and applications of categories}, pages = {330--3364}, publisher = {mathdoc}, volume = {31}, year = {2016}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a10/} }
Alexandru E. Stanculescu. Stacks and sheaves of categories as fibrant objects, II. Theory and applications of categories, Tome 31 (2016), pp. 330-3364. http://geodesic.mathdoc.fr/item/TAC_2016_31_a10/