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- W2092203992 abstract "From the intrinsic notion of normal subobject and abelian object in a protomodular category, the notion of abelian groupoid in a category E is introduced. A cofibration d1, the direction functor, is built up from the category of aspherical abelian groupoid in E to the category of abelian groups in E. The fibres of d1 are automatically endowed with a symmetric tensor product. The associated abelian group structure on the set of connected components of the fibre above the internal abelian group A realizes the second cohomology group H2(E,A)." @default.
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- W2092203992 date "2002-03-01" @default.
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- W2092203992 title "Aspherical abelian groupoids and their directions" @default.
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- W2092203992 doi "https://doi.org/10.1016/s0022-4049(01)00093-7" @default.
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