Low for random reals and positive-measure domination
Bj{\o}rn Kjos-Hanssen
TL;DR
This paper characterizes low for random reals both topologically and through domination of Turing functionals on positive measure sets, advancing understanding of randomness and computational strength.
Contribution
It provides a new topological and measure-theoretic characterization of low for random reals, linking randomness with domination properties.
Findings
Low for random reals characterized topologically.
Established domination of Turing functionals on positive measure sets.
Connected randomness notions with measure and domination concepts.
Abstract
The low for random reals are characterized topologically, as well as in terms of domination of Turing functionals on a set of positive measure.
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