Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The dual of Brown representability for some derived categories   Consider a complete abelian category which has an injective cogenerator. If
its derived category is left--complete we show that the dual of this derived
category satisfies Brown representability. In particular this is true for the
derived category of an abelian AB$4^*$-$n$ category, for the derived category
of quasi--coherent sheaves over a nice enough scheme (including the projective
finitely dimensional space) and for the full subcategory of derived category of
all sheaves over an algebraic stack consisting from complexes with
quasi--coherent cohomology.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph