Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on the construction of centric linking systems   We give examples to show that it is not in general possible to prove the
existence and uniqueness of centric linking systems associated to a given
fusion system inductively by adding one conjugacy class at a time to the
categories. This helps to explain why it was so difficult to prove that these
categories always exist, and also helps to motivate the procedure used by
Chermak when he did prove it.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph