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arXiv · 0809.1504

On satellites in arbitrary categories

George Janelidze
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Abstract

We generalize the definition of satellites with respect to presheaves (and copresheaves) with trace in the sense of Inassaridze; a presheaf with trace is replaced by a graph with a pair of diagrams defined on it. We show that the right satellite functor is left adjoint to the left satellite functor, and that a functor having a right (left) adjoint preserves right (left) satellites. In particular cases the construction of satellites is given.

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George Janelidze. 2008-09-09. On satellites in arbitrary categories. https://arxiv.org/abs/0809.1504

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