Cigoli, Alan S.

A characterization of final functors between internal groupoids in exact categories

Theory Appl. Categ. 33, 265-275 (2018)

Summary

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.

Mathematics Subject Classification

18A22, 18A99, 18B40, 18D35

Keywords/Phrases

exact category, internal groupoid, final functor, comprehensive factorization

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