Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond Erd\H{o}s-Kunen-Mauldin: Singular sets with shift-compactness
  properties   The Kestelman-Borwein-Ditor Theorem asserts that a non-negligible subset of
$\mathbb{R}$ which is Baire (=has the Baire property, BP) or measurable is
shift-compact: it contains some subsequence of any null sequence to within
translation by an element of the set. Effective proofs are recognized to yield
(i) analogous category and Haar-measure metrizable generalizations for Baire
groups and locally compact groups respectively, and (ii) permit under $V=L$
construction of co-analytic shift-compact subsets of R with singular
properties, e.g. being concentrated on $\mathbb{Q}$, the rationals.

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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th