A characterization of final functors between internal groupoids in exact categories.

Cigoli, Alan Stefano
(2018) Theory and Applications of Categories — Vol. 33, n° 11, p. 265-275 (2018)

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  • Cigoli, Alan StefanoUCLouvain
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Abstract
This paper provides three characterizations of final functors between in ternal 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.
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Cigoli, A. S. (2018). A characterization of final functors between internal groupoids in exact categories. Theory and Applications of Categories, 33(11), 265-275. https://hdl.handle.net/2078.5/22295 (Original work published 2018)