Reducibilities of sets based on constructive functions of a real variable
Osvald Demuth (1988)
Commentationes Mathematicae Universitatis Carolinae
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Osvald Demuth (1988)
Commentationes Mathematicae Universitatis Carolinae
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Andrea Sorbi (1991)
Fundamenta Mathematicae
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Reinhard Klette (1982)
Banach Center Publications
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A. Janiczak (1954)
Colloquium Mathematicae
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Andrzej Mostowski (1955)
Fundamenta Mathematicae
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Xizhong Zheng (2007)
RAIRO - Theoretical Informatics and Applications
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A real number is called Δ if its binary expansion corresponds to a Δ -set of natural numbers. Such reals are just the limits of computable sequences of rational numbers and hence also called computably approximable. Depending on how fast the sequences converge, Δ -reals have different levels of effectiveness. This leads to various hierarchies of Δ reals. In this survey paper we summarize several recent developments related...