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math.CT2019★ 1 cited
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…
math.CT2019
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…