Abstract

The purpose of these lectures is twofold. On the one hand, we shall study further the notion of satellites of functors in order to understand more generally what is going on in homological algebra. In particular, we shall try to see what happens if we consider functors defined on abelian categories when the domain category does not necessarily have projective or injective objects. Further, we shall investigate in what sense the notion of satellite still survives if we remove the condition that the domain and/or range of our functor is abelian.

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