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An outline of obstruction theories of extensions via track categories

Published 16 Feb 2020 in math.CT | (2002.06671v1)

Abstract: Abelian track categories can be classified via the third Baues-Wirsching cohomology of small categories. This approach is used in this paper to compare and classify different generalisations of the obstruction theory of non-abelian group extensions, due to Cegarra, Garz\'on and Grandjean, Cegarra, Garz\'on and Ortega, and Chen, Du and Wang.

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