3 citations · 4 across the 3 of their papers we have counts for
4 papers · 1 filter
The snail lemma and the long homology sequence
Julia Ramos González, Enrico Vitale
In the first part of the paper, we establish an homotopical version of the snail lemma (which is a generalization of the classical snake lemma). In the second part, we introduce th…
Completion under strong homotopy cokernels
Enrico M. Vitale
For A a category with finite colimits, we show that the embedding of A into the category of arrows Arr(A) determined by the initial object is the completion of A under strong homot…
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…
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…