Crossed modules, double group-groupoids and crossed squares

DOI10.2298/FIL2006755TzbMath1497.18017arXiv1802.03978MaRDI QIDQ5865255

Osman Mucuk, Sedat Temel, Tunçar Şahan

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03978

zbMATH Keywords

groupoidcrossed modulecrossed squaregroup-groupoiddouble group-groupoid

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Categorical structures (18D99) Internal categories and groupoids (18D40) 2-groups, crossed modules, crossed complexes (18G45)

Related Items

Coverings and liftings of generalized crossed modules, (Co)Limits of Hom-Lie crossed module, Liftings and covering morphisms of crossed modules in group-groupoids

Cites Work

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• Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev
• Group-groupoids and monodromy groupoids
• Van Kampen theorems for diagrams of spaces
• Higher-dimensional crossed modules and the homotopy groups of \((n+1)\)- ads
• Spaces with finitely many non-trivial homotopy groups
• Group-groupoid actions and liftings of crossed modules
• Normality and quotients in crossed modules and group-groupoids
• Categorical, homological, and homotopical properties of algebraic objects
• Obstruction theory in algebraic categories. I
• Obstruction theory in algebraic categories. II
• Note on a previous paper entitled 'On adding relations to homotopy groups'
• Coverings of internal groupoids and crossed modules in the category of groups with operations
• Coverings and crossed modules of topological groups with operations
• Groups with Multiple Operators
• Extensions, crossed modules and internal categories in categories of groups with operations
• Covering groups of non-connected topological groups revisited
• Further remarks on liftings of crossed modules
• Monodromy groupoid of an internal groupoid in topological groups with operations
• Catégories structurées
• Actions and automorphisms of crossed modules
• Combinatorial homotopy. II
• Non-semisimple topological quantum field theories for 3-manifolds with corners