3 citations · 3 across the 6 of their papers we have counts for
11 papers · 1 filter
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…
The third cohomology 2-group
Alan S. Cigoli, Sandra Mantovani, Giuseppe Metere
In this paper we show that a finite product preserving opfibration can be factorized through an opfibration with the same property, but with groupoidal fibres. If moreover the codo…
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…
Discrete and conservative reflections of fibrations
Alan S. Cigoli, Sandra Mantovani, Giuseppe Metere
We focus on two factorization systems for opfibrations in the 2-category Fib(B) of fibrations over a fixed base category B. The first one is the internal version of the so called c…
Galois theory and the categorical Peiffer commutator
Alan S. Cigoli, Arnaud Duvieusart, Marino Gran +1
We show that the Peiffer commutator previously defined by Cigoli, Mantovani and Metere can be used to characterize central extensions of precrossed modules with respect to the subc…
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…