Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On complicial homotopy monoids   For a Kan complex with a vertex, we have the notion of its simplicial
homotopy groups. In this paper, for a weak complicial set in the sense of
Verity with a vertex, we construct monoids which are a generalization of
simplicial homotopy groups.

3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess