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math.CT2017★ 3 cited
The snail lemma for internal groupoids
S. Mantovani, G. Metere, E. M. Vitale
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 wi…
math.CT2017
Bipullbacks of fractions and the snail lemma
P. -A. Jacqmin, S. Mantovani, G. Metere +1
We establish conditions giving the existence of bipullbacks in bicategories of fractions. We apply our results to construct a - exact sequence associated with a fractor b…
math.CT2017
On fibrations between internal groupoids
P. -A. Jacqmin, S. Mantovani, G. Metere +1
In order to deduce the internal version of the Brown exact sequence from the internal version of the Gabriel-Zisman exact sequence, we characterize fibrations and -fibrations…