Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Local Joyal Model Structure   It is shown that the Joyal quasi-category model structure for simplicial sets
extends to a model structure on simplicial presheaves, for which the weak
equivalences are local (or stalkwise) Joyal equivalences.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat