2020/02/16 by Mariam Pirashvili, Pirashvili, Mariam
Mathematics · #Advanced Operator Algebra Research #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2002.06671
openalex publication_date 2020/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, Garzón and Grandjean, Cegarra, Garzón and Ortega, and Chen, Du and Wang.