Butterflies in a semi-abelian context

DOI10.1016/j.aim.2013.01.008zbMath1284.18012arXiv1104.4275OpenAlexW2594723639MaRDI QIDQ387884

Enrico M. Vitale, Giuseppe Metere, O. Abbad, Sandra Mantovani

Publication date: 17 December 2013

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

Full work available at URL: https://arxiv.org/abs/1104.4275

zbMATH Keywords

butterflyweak equivalencesemi-abelian categorybicategory of fractionsinternal groupoid

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Abelian categories, Grothendieck categories (18E10) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items

Extension theory and the calculus of butterflies, Profunctors in Mal'tsev categories and fractions of functors, Two characterisations of groups amongst monoids, The third cohomology \(2\)-group, Distributors and the comprehensive factorization system for internal groupoids, Fibred-categorical obstruction theory, The snail lemma for internal groupoids, Bipullbacks of fractions and the snail lemma, Bicategories of fractions for groupoids in monadic categories

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