5 papers
Homotopy torsion theories
Sandra Mantovani, Mariano Messora, Enrico M. Vitale
In the context of categories equipped with a structure of nullhomotopies, we introduce the notion of homotopy torsion theory. As special cases, we recover pretorsion theories as we…
Fibred categorical theory of obstruction and classification of morphisms
Alan S. Cigoli, Sandra Mantovani, Giuseppe Metere +1
We set up a fibred categorical theory of obstruction and classification of morphisms that specializes to the one of monoidal functors between categorical groups and also to the Sch…
Fibered aspects of Yoneda's regular span
Alan S. Cigoli, Sandra Mantovani, Giuseppe Metere +1
In this paper we start by pointing out that Yoneda's notion of a regular span can be interpreted as a special kind of morp…
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…
Butterflies in a Semi-Abelian Context
Omar Abbad, Sandra Mantovani, Giuseppe Metere +1
It is known that monoidal functors between internal groupoids in the category Grp of groups constitute the bicategory of fractions of the 2-category Grpd(Grp) of internal groupoids…