Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohen real or random real: effect on strong measure zero sets and
  strongly meager sets   We show that the set of the ground-model reals has strong measure zero (is
strongly meager) after adding a single Cohen real (random real). As consequence
we prove that the set of the ground-model reals has strong measure zero after
adding a single Hechler real.

10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: physics