Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy colimits of model categories   Building on a previous definition of homotopy limit of model categories, we
give a definition of homotopy colimit of model categories. Using the complete
Segal space model for homotopy theories, we verify that this definition
corresponds to the model-category-theoretic definition in that setting.

12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an