On satellites in arbitrary categories
| dc.creator | Janelidze, George | |
| dc.date | 2008-09-09 | |
| dc.date.accessioned | 2026-07-07T10:01:42Z | |
| dc.date.available | 2026-07-07T10:01:42Z | |
| dc.description | 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. | |
| dc.description | 3 + 1 pages; translated by Jone Intxaurraga Larranaga and Tim Van der Linden with the help of Alexander Frolkin and Julia Goedecke; with author's remarks | |
| dc.identifier | https://arxiv.org/abs/0809.1504 | |
| dc.identifier | http://arxiv.org/abs/0809.1504 | |
| dc.identifier | G. Z. Janelidze, On satellites in arbitrary categories, Bull. Georgian Acad. Sci. 82 (1976), no. 3, 529-532, in Russian | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168718 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.subject | 18E25; 18G10 | |
| dc.title | On satellites in arbitrary categories | |
| dc.type | text |