Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real fields and repeated radical extensions   The main result of this paper is that if E is a field extension of finite odd
degree over a real field Q, and if E is a repeated radical extension of Q, then
every intermediate field is also a repeated radical extension of Q. This paper
also contains a number of other results about repeated radical extensions.

25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc