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The snail lemma for internal groupoids

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


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