Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path homology of directed hypergraphs   We describe various path homology theories constructed for a directed
hypergraph. We introduce the category of directed hypergraphs and the notion of
a homotopy in this category. Also, we investigate the functoriality and the
homotopy invariance of the introduced path homology groups. We provide examples
of computation of these homology groups.

37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin