Fundamental groupoids for simplicial objects in Mal'tsev categories
نویسندگان
چکیده
We show that the category of internal groupoids in an exact Mal'tsev is reflective, and fact a Birkhoff subcategory simplicial objects. then characterize central extensions corresponding Galois structure, regular epimorphisms admit relative monotone-light factorization system sense Chikhladze. also draw some comparison with Kan complexes. By comparing reflections objects reflexive graphs into groupoids, we exhibit connection weighted commutators (as defined by Gran, Janelidze Ursini).
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2021
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2020.106620