Groupoids and skeletal categories form a pretorsion theory in \(\mathsf{Cat}\)

DOI10.1016/j.aim.2023.109110zbMath1520.18008arXiv2207.08487OpenAlexW4378700942MaRDI QIDQ6103500

Francis Borceux, Walter Tholen, Marino Gran, Federico Campanini

Publication date: 5 June 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.08487

zbMATH Keywords

groupoidsskeletal categoriespretorsion theoryconservative functorscoequalizers in \(\mathsf{Cat}\)

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

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