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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 |
Appears in Collections: | Staff Publications |
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