A 2-categorical approach to change of base and geometric morphisms I
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 32 (1991) no. 1, pp. 47-95. 
@article{CTGDC_1991__32_1_47_0,
     author = {Carboni, A. and Kelly, G. M. and Wood, R. J.},
     title = {A $2$-categorical approach to change of base and geometric morphisms {I}},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {47--95},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {32},
     number = {1},
     year = {1991},
     mrnumber = {1130402},
     zbl = {0747.18008},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_1991__32_1_47_0/}
}
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Carboni, A.; Kelly, G. M.; Wood, R. J. A $2$-categorical approach to change of base and geometric morphisms I. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 32 (1991) no. 1, pp. 47-95. http://www.numdam.org/item/CTGDC_1991__32_1_47_0/

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