Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low complexity Haar null sets without G_{\delta} hulls in Z^\omega   We show that for every $2\le \xi<\omega_1$ there exists a Haar null set in
$\mathbb{Z}^\omega$ that is the difference of two $\mathbf{\Pi}^0_\xi$ sets but
not contained in any $\mathbf{\Pi}^0_\xi$ Haar null set. In particular, there
exists a Haar null set in $\mathbb{Z}^\omega$ that is the difference of two
$G_\delta$ sets but not contained in any $G_\delta$ Haar null set. This
partially answers a question of M. Elekes and Z. Vidny\'anszky. To prove this,
we also prove a theorem which characterizes the Haar null subsets of
$\mathbb{Z}^\omega$.

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con