Fibred categorical theory of obstruction and classification of morphisms
Category Theory
2021-04-14 v1
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.
Keywords
Cite
@article{arxiv.2104.06362,
title = {Fibred categorical theory of obstruction and classification of morphisms},
author = {Alan S. Cigoli and Sandra Mantovani and Giuseppe Metere and Enrico M. Vitale},
journal= {arXiv preprint arXiv:2104.06362},
year = {2021}
}