Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Kurtz randomness   A real $x$ is $\Delta^1_1$-Kurtz random ($\Pi^1_1$-Kurtz random) if it is in
no closed null $\Delta^1_1$ set ($\Pi^1_1$ set). We show that there is a cone
of $\Pi^1_1$-Kurtz random hyperdegrees. We characterize lowness for
$\Delta^1_1$-Kurtz randomness as being $\Delta^1_1$-dominated and
$\Delta^1_1$-semi-traceable.

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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
18
The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol