Fibred categorical theory of obstruction and classification of morphisms

2021/04/13 by Cigoli, Alan S., Mantovani, Sandra, Metere, Giuseppe +1
#16B50 #16E40 #18D30 #18E13 #18E35 #18G45 #18G50 #20J06 #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2104.06362

Abstract

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 Schreier-Mac Lane theory of group extensions. Further applications are provided, as for example a classification of unital associative algebra extensions with non-abelian kernel in terms of Hochschild cohomology.

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