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arXiv · 1707.00875

The snail lemma for internal groupoids

S. Mantovani·G. Metere·E. M. Vitale
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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.

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S. Mantovani, G. Metere, E. M. Vitale. 2017-07-04. The snail lemma for internal groupoids. https://arxiv.org/abs/1707.00875

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