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Mal'cev categories and fibration of pointed objects

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Abstract

The fibration p of pointed objects of a category E is shown to have some classifying properties: it is additive if and only if E is naturally Mal'cev, it is unital if and only if E is Mal'cev. The category E is protomodular if and only if the change of base functors relative to p are conservative.

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  1. Université du Littoral, 1 Quai Freycinet, BP 5526, 59379, Dunkerque, France

    Dominique Bourn

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  1. Dominique Bourn
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Bourn, D. Mal'cev categories and fibration of pointed objects. Appl Categor Struct 4, 307–327 (1996). https://doi.org/10.1007/BF00122259

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  • DOI: https://doi.org/10.1007/BF00122259

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