Internal bicategories in groups

preprint2015arXivOpen access

Abstract

A detailed description of internal bicategory in the category of groups is derived from the general description of internal bicategories in weakly Mal'tsev sesquicategories. The example of bicategory of paths in a topological abelian group is presented, as well as a description of internal bicategories in weakly Mal'tsev categories with a VV-Mal'tsev operation in the sense of Pedicchio.

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