The snail lemma for internal groupoids
Category Theory
2017-07-05 v1
Abstract
We establish a generalized form both of the Gabriel-Zisman exact sequence associated with a pointed functor between pointed groupoids, and of the Brown exact sequence associated with a fibration of pointed groupoids. Our generalization consists in replacing pointed groupoids with groupoids internal to a pointed regular category with reflexive coequalizers.
Keywords
Cite
@article{arxiv.1707.00875,
title = {The snail lemma for internal groupoids},
author = {S. Mantovani and G. Metere and E. M. Vitale},
journal= {arXiv preprint arXiv:1707.00875},
year = {2017}
}