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Normalized Bicategories Internal to Groups and more General Mal’tsev Categories

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Abstract(s)

A detailed description of a normalized internal bicategory in the category of groups is derived from the general description of internal bicategories in weakly Mal’tsev categories endowed with a V -Mal’tsev operation in the sense of Pedicchio. The example of bicategory of paths in a topological abelian group is presented.

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Keywords

Normalized internal bicategory Reflexive graph Internal category Internal 2-category Homotopy path Mal’tsev variety V -Mal’tsev operation 2-cell structure Pseudocategory

Citation

Martins-Ferreira, N. Normalized Bicategories Internal to Groups and more General Mal’tsev Categories. Appl Categor Struct 25, 1137–1158 (2017). https://doi.org/10.1007/s10485-017-9486-y

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Publisher

Springer Science and Business Media LLC

CC License

Without CC licence

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