Title of article
Higher Kurtz randomness
Author/Authors
Kjos-Hanssen، نويسنده , , Bjّrn and Nies، نويسنده , , André and Stephan، نويسنده , , Frank and Yu، نويسنده , , Liang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
11
From page
1280
To page
1290
Abstract
A real x is Δ 1 1 -Kurtz random ( Π 1 1 -Kurtz random) if it is in no closed null Δ 1 1 set ( Π 1 1 set). We show that there is a cone of Π 1 1 -Kurtz random hyperdegrees. We characterize lowness for Δ 1 1 -Kurtz randomness as being Δ 1 1 -dominated and Δ 1 1 -semi-traceable.
Keywords
Kurtz randomness , Hyperarithmetic , Lowness
Journal title
Annals of Pure and Applied Logic
Serial Year
2010
Journal title
Annals of Pure and Applied Logic
Record number
1444478
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