# On satellites in semi-abelian categories: Homology without projectives

Published as
Julia Goedecke and Tim Van der Linden, On satellites in semi-abelian categories: Homology without projectives, Math. Proc. Cambridge Philos. Soc. 147 (2009), no. 3, 629-657.
Final pdf (copyright Cambridge Philosophical Society).
Theorem 5.6 is not true as it stands, because $\mathsf{End} p$ is not initial in $\widehat{\mathsf{End}}p$. Indeed, the very last sentence of the proof is wrong: the zero map $p\rightarrow !_P$ is not a composition as claimed, and is in fact not connected to those compositions.