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# GIUSEPPE METERE

## The snail lemma for internal groupoids

• Autori: Mantovani, S.; Metere, G.; Vitale, E.
• Anno di pubblicazione: 2019
• Tipologia: 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