Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison Between Different Topological Models of Concurrency   In this note, we provide an explicit non-Quillen equivalence between the
category of precubical sets and Gaucher's category of flows via a class of
"realization functors" (with mild assumptions on the cofibrations of the
category of precubical sets). In addition, we demonstrate a Quillen equivalence
between simplicial semicategories and flows before proving that simplicial
semicategories satisfy many of the same properties as flows. Finally, we
introduce the category of boxed symmetric trees, presheaves on which may
provide a slightly more flexible setting for concurrent computing than
(pre)cubical sets, before showing that when endowed with degeneracies, the
aforementioned presheaf category is a test category (although not strict test).

1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat