## Journal of Symbolic Logic

### Almost everywhere domination

#### Abstract

A Turing degree a is said to be almost everywhere dominating if, for almost all X∈ 2ω with respect to the “fair coin” probability measure on 2ω, and for all g : ω→ω Turing reducible to X, there exists f : ω→ω of Turing degree a which dominates g. We study the problem of characterizing the almost everywhere dominating Turing degrees and other, similarly defined classes of Turing degrees. We relate this problem to some questions in the reverse mathematics of measure theory.

#### Article information

Source
J. Symbolic Logic, Volume 69, Issue 3 (2004), 914-922.

Dates
First available in Project Euclid: 4 October 2004

https://projecteuclid.org/euclid.jsl/1096901775

Digital Object Identifier
doi:10.2178/jsl/1096901775

Mathematical Reviews number (MathSciNet)
MR2078930

Zentralblatt MATH identifier
1075.03021

#### Citation

Dobrinen, Natasha L.; Simpson, Stephen G. Almost everywhere domination. J. Symbolic Logic 69 (2004), no. 3, 914--922. doi:10.2178/jsl/1096901775. https://projecteuclid.org/euclid.jsl/1096901775

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