Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A conjecture implying the existence of non-convex Chebyshev sets in
  infinite-dimensional Hilbert spaces   In this paper, we propose the study of a conjecture whose affirmative
solution would provide an example of a non-convex Chebyshev set in an
infinite-dimensional real Hilbert space.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex