Fibred-categorical obstruction theory

DOI10.1016/j.jalgebra.2021.10.040zbMath1490.18009OpenAlexW3212703213MaRDI QIDQ2062723

Alan S. Cigoli, Giuseppe Metere, Sandra Mantovani, Enrico M. Vitale

Publication date: 3 January 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10447/525060

zbMATH Keywords

cohomologyobstruction theoryfibrationcategory of fractionsSchreier-Mac Lane theorem

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Cohomology of groups (20J06) Nonabelian homological algebra (category-theoretic aspects) (18G50) Fibered categories (18D30) Localization of categories, calculus of fractions (18E35) 2-groups, crossed modules, crossed complexes (18G45) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

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The third cohomology \(2\)-group ⋮ On pseudofunctors sending groups to 2-groups

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