The snail lemma for internal groupoids

The snail lemma for internal groupoids

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...

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Hauptverfasser: Mantovani, S, Metere, G, Vitale, E. M
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Category Theory
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Zusammenfassung: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.
DOI:10.48550/arxiv.1707.00875