On satellites in semi-abelian categories: Homology without projectives

DOI10.1017/S0305004109990107zbMath1190.18006arXiv0808.2798OpenAlexW2119622401MaRDI QIDQ3646109

Julia Goedecke, Tim Van der Linden

Publication date: 19 November 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2798

zbMATH Keywords

higher Hopf formulaEveraert sequencegeneralised satellites

Mathematics Subject Classification ID

Related Items (10)

The Yoneda isomorphism commutes with homology ⋮ Higher central extensions and cohomology ⋮ Universal central extensions of Lie crossed modules over a fixed Lie algebra ⋮ Resolutions, higher extensions and the relative Mal'tsev axiom ⋮ A description of the fundamental group in terms of commutators and closure operators ⋮ Fundamental group functors in descent-exact homological categories ⋮ Higher central extensions in Mal'tsev categories ⋮ Galois theory and commutators ⋮ Baer invariants and cohomology of precrossed modules ⋮ A comonadic interpretation of Baues-Ellis homology of crossed modules

Cites Work

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• Galois theory and a general notion of central extension
• Preface to special issue: Homotopy theory
• On the direct image of intersections in exact homological categories
• On the second cohomology group in semi-abelian categories
• Higher Hopf formulae for homology via Galois theory
• Fundamentalgruppe und zweite Bettische Gruppe
• Baer-Invariants of Algebras
• Semi-abelian categories

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