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The equivalence of 2-groupoids and crossed modules - MaRDI portal

The equivalence of 2-groupoids and crossed modules (Q2731558)

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scientific article; zbMATH DE number 1626112
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English
The equivalence of 2-groupoids and crossed modules
scientific article; zbMATH DE number 1626112

    Statements

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    26 September 2002
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    2-groupoids
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    crossed modules
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    2-homotopy
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    The equivalence of 2-groupoids and crossed modules (English)
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    Homotopy 2-types can be described as 2-groupoids or as crossed modules over groupoids. This paper constructs an explicit equivalence between the corresponding categories and shows that it preserves the homotopy notions in the two contexts.
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