On satellites in semi-abelian categories: Homology without projectives-Reference-Cited by-同舟云学术

On satellites in semi-abelian categories: Homology without projectives

Published:2009-06-22 Issue:3 Volume:147 Page:629-657
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

GOEDECKE JULIA,VAN DER LINDEN TIM

Abstract

AbstractWorking in a semi-abelian context, we use Janelidze's theory of generalised satellites to study universal properties of the Everaert long exact homology sequence. This results in a new definition of homology which does not depend on the existence of projective objects. We explore the relations with other notions of homology, and thus prove a version of the higher Hopf formulae. We also work out some examples.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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