English

A characterization of final functors between internal groupoids in exact categories

Category Theory 2017-11-30 v1

Abstract

This paper provides several characterizations of final functors between internal groupoids in Barr-exact categories. In particular, it is proved that an internal functor between groupoids is final if and only if it is full and essentially surjective.

Keywords

Cite

@article{arxiv.1711.10747,
  title  = {A characterization of final functors between internal groupoids in exact categories},
  author = {Alan S. Cigoli},
  journal= {arXiv preprint arXiv:1711.10747},
  year   = {2017}
}
R2 v1 2026-06-22T23:00:37.144Z