Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two Models for the Homotopy Theory of Cocomplete Homotopy Theories   We prove that the homotopy theory of cofibration categories is equivalent to
the homotopy theory of cocomplete quasicategories. This is achieved by
presenting both homotopy theories as fibration categories and constructing an
explicit equivalence between them.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas