Uniform Almost Everywhere Domination

Journal of Symbolic Logic 71 (3):1057 - 1072 (2006)
Abstract
We explore the interaction between Lebesgue measure and dominating functions. We show, via both a priority construction and a forcing construction, that there is a function of incomplete degree that dominates almost all degrees. This answers a question of Dobrinen and Simpson, who showed that such functions are related to the proof-theoretic strength of the regularity of Lebesgue measure for Gδ sets. Our constructions essentially settle the reverse mathematical classification of this principle
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Citations of this work BETA
George Barmpalias (2012). Tracing and Domination in the Turing Degrees. Annals of Pure and Applied Logic 163 (5):500-505.
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