Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Less than $2^{\omega}$ many translates of a compact nullset may cover
  the real line   We answer a question of Darji and Keleti by proving that there exists a
compact set $C_0\subset\RR$ of measure zero such that for every perfect set
$P\subset\RR$ there exists $x\in\RR$ such that $(C_0+x)\cap P$ is uncountable.
Using this $C_0$ we answer a question of Gruenhage by showing that it is
consistent with $ZFC$ (as it follows e.g. from $\textrm{cof}(\iN)<2^\omega$)
that less than $2^\omega$ many translates of a compact set of measure zero can
cover $\RR$.

16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas