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.
A characterization of final functors between internal groupoids in exact categories
Cigoli A. S.
2018-01-01
Abstract
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.
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