scientific article; zbMATH DE number 7255222

zbMath1448.18009MaRDI QIDQ4969300

Sedat Temel

Publication date: 5 October 2020

Full work available at URL: http://cgasa.sbu.ac.ir/article_87511.html

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zbMATH Keywords

groupoidcrossed modulecrossed square\(\mathrm{cat}^{\mathbf{1}}\)-group\(\mathrm{cat}^{\mathbf{2}}\)-group

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Homotopy groups, general; sets of homotopy classes (55Q05) Homological methods in group theory (20J05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) 2-categories, bicategories, double categories (18N10) Structured objects in a category (group objects, etc.) (18C40)

Related Items (2)

Coverings and liftings of generalized crossed modules ⋮ Crossed modules, double group-groupoids and crossed squares

Cites Work

• Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev
• Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes
• Van Kampen theorems for diagrams of spaces
• Higher-dimensional crossed modules and the homotopy groups of \((n+1)\)- ads
• Crossed \(n\)-fold extensions of groups and cohomology
• Spaces with finitely many non-trivial homotopy groups
• Cohomologie et groupe de Steinberg rélatifs
• Homotopies and automorphisms of crossed modules of groupoids
• Group-groupoid actions and liftings of crossed modules
• Normality and quotients in crossed modules and group-groupoids
• 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
• Derivations, automorphisms and crossed modules
• Normality and quotient in crossed modules over groupoids and 2-Groupoids
• Normality and quotient in crossed modules over groupoids and double groupoids
• Actions and automorphisms of crossed modules
• Combinatorial homotopy. II
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