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math.CT2023
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…
math.CT2023
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…