Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Brown representability in homotopy categories   We show that the homotopy category of a combinatorial stable model category
$\ck$ is well generated. It means that each object $K$ of $\Ho(\ck)$ is an
iterated weak colimit of $\lambda$-compact objects for some cardinal $\lambda$.
A natural question is whether each $K$ is a weak colimit of $\lambda$-compact
objects. We show that this is related to (generalized) Brown representability
of $\Ho(\mathcal K)$.

12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
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The categories of this paper are: astro-ph