Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gray-categories model algebraic tricategories   Lack described a Quillen model structure on the category GrayCat of
Gray-categories and Gray-functors, for which the weak equivalences are the weak
3-equivalences. In this note, we adapt the technique of Gurski, Johnson, and
Osorno to show the localization of GrayCat at the weak equivalences is
equivalent to the category of algebraic tricategories and pseudo-natural
equivalence classes of weak 3-functors.

23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
18
The categories of this paper are: econ