Higher Kurtz randomness

A real x is 1 1-Kurtz random (1 1-Kurtz random) if it is in no closed null 1 1 set (1 1 set). We show that there is a cone of 1 1-Kurtz random hyperdegrees. We characterize lowness for 1 1-Kurtz randomness as being 1 1-dominated and 1 1semi-traceable.

• Type: Journal
• Year: 2010
• Where: APAL
• Authors: Bjørn Kjos-Hanssen, André Nies, Frank Stephan, Liang Yu
• Keywords: 1-Kurtz Random, 1-Kurtz Randomness, APAL 2010, Closed Null