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ISSN 1088-6826(e) ISSN 0002-9939(p)

Low for random reals and positive-measure domination

Author(s): Bjørn Kjos-Hanssen
Journal: Proc. Amer. Math. Soc. 135 (2007), 3703-3709.
MSC (2000): Primary 03D28, 68Q30
Posted: August 8, 2007
MathSciNet review: 2336587
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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.

References:

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Additional Information:

Bjørn Kjos-Hanssen
Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
Email: bjoern@math.cornell.edu

DOI: 10.1090/S0002-9939-07-08648-0
PII: S 0002-9939(07)08648-0
Received by editor(s): November 29, 2005
Received by editor(s) in revised form: January 21, 2006
Posted: August 8, 2007
Additional Notes: The author thanks the Institute for Mathematical Sciences of the National University of Singapore for support during the preparation of this manuscript at the \emph{Computational Prospects of Infinity} conference in Summer 2005. The author also thanks Denis R. Hirschfeldt for proving upon request a lemma used in an earlier proof of the case $B\le_T 0'$ of Theorem \ref{jada}.
Communicated by: Julia Knight
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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