3 citations · 4 across the 4 of their papers we have counts for
8 papers · 1 filter
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…
Descent cospans for the fibration of points
Alan S. Cigoli
Draft version of a paper concerning an interpretation of the conditon (UA) in terms of descent with respect to the fibrations of points.
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…
A relative monotone-light factorisation system for internal groupoids
Alan S. Cigoli, Tomas Everaert, Marino Gran
Given an exact category , it is well known that the connected component reflector from the category $\mathsf{Gpd}(\m…