Work

On satellites in arbitrary categories

Year: 2008
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W2157181751
Cites: 3
Cited by: 6
Related to: 10