Fibred-categorical obstruction theory
type: Item
instance of: scholarly article
title: Fibred-categorical obstruction theory
zbMATH Open document ID: 1490.18009
author: Alan S. Cigoli
author: Sandra Mantovani
author: G. Metere
author: E. M. Vitale
published in: Journal of Algebra
publication date: 2022-01-03T00:00:00Z
full work available at URL: http://hdl.handle.net/10447/525060
Mathematics Subject Classification ID: 18D30
Mathematics Subject Classification ID: 18E13
Mathematics Subject Classification ID: 18E35
Mathematics Subject Classification ID: 18G45
Mathematics Subject Classification ID: 18G50
Mathematics Subject Classification ID: 16E40
Mathematics Subject Classification ID: 20J06
zbMATH DE Number: 7451308
zbMATH Keywords: cohomology
zbMATH Keywords: fibration
zbMATH Keywords: category of fractions
zbMATH Keywords: Schreier-Mac Lane theorem
zbMATH Keywords: obstruction theory
MaRDI profile type: Publication
OpenAlex ID: W3212703213
cites work: Butterflies in a semi-abelian context
cites work: Stacks of Ann-Categories and their morphisms
cites work: Butterflies. I: Morphisms of 2-group stacks
cites work: Crossed extensions of algebras and Hochschild cohomology
cites work: Q4304740
cites work: Q3417720
cites work: Q4944196
cites work: Aspherical abelian groupoids and their directions
cites work: Commutator theory, action groupoids, and an intrinsic Schreier-Mac Lane extension theorem
cites work: Q5200285
cites work: Q4662364
cites work: Intrinsic Schreier-Mac Lane extension theorem. II: The case of action accessible categories
cites work: Q5421090
cites work: Q3708977
cites work: On Graded Categorical Groups and Equivariant Group Extensions
cites work: A push forward construction and the comprehensive factorization for internal crossed modules
cites work: Discrete and conservative factorizations in \textbf{Fib}\((B)\)
cites work: Fibered aspects of Yoneda's regular span
cites work: Extension theory and the calculus of butterflies
cites work: Obstruction theory in action accessible categories
cites work: Higher dimensional crossed modules of algebras
cites work: Q5580926
cites work: Semidirect products of categorical groups. Obstruction theory
cites work: Q4811698
cites work: Q4145861
cites work: Q4783274
cites work: Q5343374
cites work: Profunctors in Mal'tsev categories and fractions of functors
cites work: Distributors and the comprehensive factorization system for internal groupoids
cites work: Notes on 2-groupoids, 2-groups and crossed modules
cites work: Q4893912
cites work: Directions for the long exact cohomology sequence in Moore categories
cites work: On the categorical structure of \(H^{2}\)
cites work: Q4931925
DOI: 10.1016/J.JALGEBRA.2021.10.040
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description: scientific article; zbMATH DE number 7451308