Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Valdivia compact Abelian groups   Let R denote the smallest class of compact spaces containing all metric
compacta and closed under limits of continuous inverse sequences of
retractions. Class R is striclty larger than the class of Valdivia compact
spaces. We show that every compact connected Abelian group which is a
topological retract of a space from class R is necessarily isomorphic to a
product of metric groups. This completes the result of V. Uspenskij and the
author, where a compact connected Abelian group outside class R has been
described.

26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess