Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.apal.2010.04.001
Title: Higher Kurtz randomness
Authors: Kjos-Hanssen, B.
Nies, A.
Stephan, F. 
Yu, L.
Keywords: Hyperarithmetic
Kurtz randomness
Lowness
Issue Date: Jul-2010
Citation: Kjos-Hanssen, B., Nies, A., Stephan, F., Yu, L. (2010-07). Higher Kurtz randomness. Annals of Pure and Applied Logic 161 (10) : 1280-1290. ScholarBank@NUS Repository. https://doi.org/10.1016/j.apal.2010.04.001
Abstract: A real x is δ1 1-Kurtz random (Π1 1-Kurtz random) if it is in no closed null δ1 1 set (Π1 1 set). We show that there is a cone of Π1 1-Kurtz random hyperdegrees. We characterize lowness for δ1 1-Kurtz randomness as being δ1 1-dominated and δ1 1-semi-traceable. © 2010 Elsevier B.V.
Source Title: Annals of Pure and Applied Logic
URI: http://scholarbank.nus.edu.sg/handle/10635/103372
ISSN: 01680072
DOI: 10.1016/j.apal.2010.04.001
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