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A remarkable aspect of internal groupoids in regular Mal'tsev categories
Theory and applications of categories, Tome 37 (2021), pp. 326-336 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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In any finitely cocomplete regular Mal'tsev category E, we characterize by a very simple property in E the cocartesian functors in the category GrdE of internal groupoids in E, provided that they are defined above regular epimorphisms.

Publié le :
Classification : 08B05, 18A20, 18C10, 18C40, 18E13
Keywords: split epimorphism, internal groupoid, Jónnson-Tarski, subtractive and Mal'tsev varieties, unital, subtractive and Mal'tsev categories 
@article{TAC_2021_37_a11,
     author = {Dominique Bourn},
     title = {A remarkable aspect of internal groupoids in regular {Mal'tsev} categories},
     journal = {Theory and applications of categories},
     pages = {326--336},
     year = {2021},
     volume = {37},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a11/}
}
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Dominique Bourn. A remarkable aspect of internal groupoids in regular Mal'tsev categories. Theory and applications of categories, Tome 37 (2021), pp. 326-336. http://geodesic.mathdoc.fr/item/TAC_2021_37_a11/