Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Itzkowitz's problem for group of finite exponent   Itzkowitz's problem asks whether every topological group $G$ has equal left
and right uniform structures provided that bounded left uniformly continuous
real-valued function on $G$ are right uniformly continuous. This paper provides
a positive answer to this problem if $G$ is of bounded exponent or, more
generally, if there exist an integer $p\geq 2$ and a nonempty open set
$U\subset G$ such that the power map $U\ni g\to g^p\in G$ is left (or right)
uniformly continuous. This also resolves the problem for periodic groups which
are Baire spaces.

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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom