Stacks and equivalence of indexed categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Volume 20 (1979) no. 4, p. 373-399 
@article{CTGDC_1979__20_4_373_0,
     author = {Bunge, Marta and Pare, Robert},
     title = {Stacks and equivalence of indexed categories},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {20},
     number = {4},
     year = {1979},
     pages = {373-399},
     zbl = {0432.18003},
     mrnumber = {558105},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_1979__20_4_373_0}
}

Bunge, Marta; Pare, Robert. Stacks and equivalence of indexed categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Volume 20 (1979) no. 4, pp. 373-399. http://www.numdam.org/item/CTGDC_1979__20_4_373_0/

1 M. Barr, Exact categories, in Exact categories and categories of sheaves, Lecture Notes in Math. 236, Springer (1970), 1-120. | Zbl 0223.18010

2 M. Bunge, Stack completions and Morita equivalence for categories in a topos, Cahiers Topo. et Géo. Diff., same issue. | Numdam | Zbl 0432.18004

3 J. Duskin, Variations on Beck's tripleability criterion, in Reports of the Midwest Cat. Seminar III, Lecture Notes in Math. 106, Springer (1969), 74. | MR 252471 | Zbl 0211.32501

4 J. Gir AUD, Cohomologie non abélienne, Springer, Berlin, 1971. | MR 344253 | Zbl 0226.14011

5 J. Giraud, Classifying topos, in Toposes, Algebraic Geometry and Logic, Lecture Notes in Math. 274, Springer (1972), 43-56. | MR 349807 | Zbl 0267.18014

6 A. Grothendieck, Technique et descente et théorèmes d'existence en Géométrie Algébrique, Séminaire Bourbaki n° 190 (1959/60). | Numdam | Zbl 0229.14007

7 R.P. Are & D. Schumacher, Abstract families and the adjoint functor Theorems, in Indexed categories and their applications, Lecture Notes in Math. 661, Springer (1978), 1-125. | MR 514193 | Zbl 0389.18002

8 G. Wraith, Lecture on elementary topoi, in Model theory and Topoi, Lecture Notes in Math. 445, Springer (1975), 114-206. | MR 393179 | Zbl 0323.18005

9 G. Wraith, Locally equivalent toposes, Manuscript, Univ. Sussex, 1977. | MR 577506

10 J. Benabou & J. Roubaud, Monades et descente, C. R. A. S. Paris 270 (1970), A, 96-98. | MR 255631 | Zbl 0287.18007