Geodesic
A characterization of final functors between internal groupoids in exact categories
Theory and applications of categories, Tome 33 (2018), pp. 265-275

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This paper provides three characterizations of final functors between internal groupoids in an exact category (in the sense of Barr). In particular, it is proved that a functor between internal groupoids is final if and only if it is internally full and essentially surjective.

Publié le :
Classification : 18A22, 18A99, 18B40, 18D35
Keywords: exact category, internal groupoid, final functor, comprehensive factorization 
@article{TAC_2018_33_a10,
     author = {Alan S. Cigoli},
     title = {A characterization of final functors between internal groupoids in exact categories},
     journal = {Theory and applications of categories},
     pages = {265--275},
     publisher = {mathdoc},
     volume = {33},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2018_33_a10/}
}
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Alan S. Cigoli. A characterization of final functors between internal groupoids in exact categories. Theory and applications of categories, Tome 33 (2018), pp. 265-275. http://geodesic.mathdoc.fr/item/TAC_2018_33_a10/