Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complement Spaces, Dual Complexes and Polyhedral Product Spaces   In this paper, we define and prove basic properties of complement polyhedral
product spaces, dual complexes and polyhedral join complexes. Then we compute
the universal algebra of polyhedral join complexes under certain split
conditions and the Alexander duality isomorphism on certain polyhedral product
spaces.

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an