# GIUSEPPE METERE

## The snail lemma for internal groupoids

• Authors: Mantovani, S.; Metere, G.; Vitale, E.
• Publication year: 2019
• Type: Articolo in rivista

### 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