Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonassociative Ramsey Theory and the amenability of Thompson's group   The purpose of this article is prove that Thompson's group F is amenable. The
methods developed will then be used to prove a generalization of Hindman's
theorem for the free nonassociative binary system on one generator.

37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas