Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On satellites in arbitrary categories   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.

25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th