Fibre bundles in general categories

DOI10.1016/0022-4049(89)90059-5zbMath0665.18009OpenAlexW2090790642MaRDI QIDQ1115959

Anders Kock

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90059-5

zbMATH Keywords

fiber bundleuniversal covering spaceframe bundlescategory of localescategory of regular pregroupoidscategory of regular principal homogeneous group actionscategory with finite inverse limitsdescent mappregroupoid structure

Mathematics Subject Classification ID

Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

Related Items (10)

Weighted commutators in semi-abelian categories ⋮ Higher central extensions and cohomology ⋮ Principal bundles as Frobenius adjunctions with application to geometric morphisms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Higher commutator conditions for extensions in Mal'tsev categories ⋮ A unified classification theorem for Mal'tsev-like categories ⋮ Central extensions and internal groupoids in Maltsev categories ⋮ Commutators and central extensions in universal algebra ⋮ The ``closed subgroup theorem for localic herds and pregroupoids

Cites Work

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• Combinatorial notions relating to principal fibre bundles
• An extension of the Galois theory of Grothendieck
• Monomorphisms, Epimorphisms, and Pull-Backs

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