Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A cubical model for $(\infty, n)$-categories   We propose a new model for the theory of $(\infty,n)$-categories (including
the case $n=\infty$) in the category of marked cubical sets with connections,
similar in flavor to complicial sets of Verity. The model structure
characterizing our model is shown to be monoidal with respect to suitably
defined (lax and pseudo) Gray tensor products; in particular, these tensor
products are both associative and biclosed. Furthermore, we show that the
triangulation functor to pre-complicial sets is a left Quillen functor and is
strong monoidal with respect to both Gray tensor products.

29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th