Fibrations of bigroupoids
Copyright policy )Fibrations of bigroupoids
A bigroupoid is a bicategory with invertibility conditions. For example, a topological space has a homotopy bigroupoid. There are also algebraic examples got by combining crossed modules with group actions. In this paper the authors construct a nine-term exact sequence associated to a fibration of bigroupoids, and give applications in topology and algebra.
- Vrije Universiteit Brussel Belgium
- SRH Fernhochschule – The Mobile University Germany
- University of Hagen Germany
- Rolf C. Hagen Group Canada
- University of Cape Town South Africa
bigroupoid, Algebra and Number Theory, bicategory with invertibility conditions, Nonabelian homotopical algebra, Groupoids (i.e. small categories in which all morphisms are isomorphisms), nine-term exact sequence, Double categories, \(2\)-categories, bicategories and generalizations, Nonabelian homological algebra (category-theoretic aspects), fibration, Homotopy groups, general; sets of homotopy classes
bigroupoid, Algebra and Number Theory, bicategory with invertibility conditions, Nonabelian homotopical algebra, Groupoids (i.e. small categories in which all morphisms are isomorphisms), nine-term exact sequence, Double categories, \(2\)-categories, bicategories and generalizations, Nonabelian homological algebra (category-theoretic aspects), fibration, Homotopy groups, general; sets of homotopy classes
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