Hirschfeldt, Denis R.; Nies, André; Stephan, Frank Using random sets as oracles. (English) Zbl 1128.03036 J. Lond. Math. Soc., II. Ser. 75, No. 3, 610-622 (2007). The authors prove that the bases for 1-randomness are exactly the \(K\)-trivial sets. Some consequences are also examined. Reviewer: Cristian S. Calude (Auckland) Cited in 3 ReviewsCited in 36 Documents MSC: 03D80 Applications of computability and recursion theory 68Q30 Algorithmic information theory (Kolmogorov complexity, etc.) Keywords:random reals; base for 1-randomness PDFBibTeX XMLCite \textit{D. R. Hirschfeldt} et al., J. Lond. Math. Soc., II. Ser. 75, No. 3, 610--622 (2007; Zbl 1128.03036) Full Text: DOI