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- W4320341421 abstract "We describe a pretorsion theory in the category $Cat$ of small categories: the torsion objects are the groupoids, while the torsion-free objects are the skeletal categories, i.e., those categories in which every isomorphism is an automorphism. We infer these results from two unexpected properties of coequalizers in $Cat$ that identify pairs of objects: they are faithful and reflect isomorphisms." @default.
- W4320341421 created "2023-02-13" @default.
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- W4320341421 date "2022-07-18" @default.
- W4320341421 modified "2023-10-01" @default.
- W4320341421 title "Groupoids and skeletal categories form a pretorsion theory in $mathsf{Cat}$" @default.
- W4320341421 doi "https://doi.org/10.48550/arxiv.2207.08487" @default.
- W4320341421 hasPublicationYear "2022" @default.
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