Bipullbacks of fractions and the snail lemma

DOI10.1016/j.jpaa.2019.03.014zbMath1418.18002arXiv1707.00873OpenAlexW2963834029WikidataQ124817639 ScholiaQ124817639MaRDI QIDQ2318347

Giuseppe Metere, Enrico M. Vitale, Pierre-Alain Jacqmin, Sandra Mantovani

Publication date: 15 August 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00873

zbMATH Keywords

snail lemmabicategory of fractionsinternal groupoidbipullback

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Localization of categories, calculus of fractions (18E35)

Related Items

Unnamed Item ⋮ The snail lemma for internal groupoids

Cites Work

• The snail lemma in a pointed regular category
• Butterflies in a semi-abelian context
• Coherence for bicategories and indexed categories
• On fibrations between internal groupoids and their normalizations
• The snail lemma for internal groupoids
• Bicategories of fractions for groupoids in monadic categories
• Profunctors in Mal'tsev categories and fractions of functors
• Fibrations of groupoids
• Internal categories, anafunctors and localisations
• \(3\times 3\) lemma and protomodularity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item