Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Borsuk-Ulam-property, Tucker-property and constructive proofs in
  combinatorics   This article is concerned with a general scheme on how to obtain constructive
proofs for combinatorial theorems that have topological proofs so far. To this
end the combinatorial concept of Tucker-property of a finite group $G$ is
introduced and its relation to the topological Borsuk-Ulam-property is
discussed. Applications of the Tucker-property in combinatorics are
demonstrated.

16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas