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|Title:||Higher Kurtz randomness||Authors:||Kjos-Hanssen, B.
|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|
|Appears in Collections:||Staff Publications|
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