Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rothberger bounded groups and Ramsey theory   We show that: 1. Rothberger bounded subgroups of sigma-compact groups are
characterized by Ramseyan partition relations. 2. For each uncountable cardinal
$\kappa$ there is a ${\sf T}_0$ topological group of cardinality $\kappa$ such
that ONE has a winning strategy in the point-open game on the group and the
group is not a subspace of any sigma-compact space. 3. For each uncountable
cardinal $\kappa$ there is a ${\sf T}_0$ topological group of cardinality
$\kappa$ such that ONE has a winning strategy in the point-open game on the
group and the group is \sigma-compact.

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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cs