Mathematical Research Letters
Volume 16 (2009)
Infinite Subsets of Random Sets of Integers
Pages: 103 – 110
There is an infinite subset of a Martin-Löf random set of integers that does not compute any Martin-Löf random set of integers. To prove this, we show that each real of positive effective Hausdorff dimension computes an infinite subset of a Martin-Löf random set of integers, and apply a result of Miller.
Published 1 January 2009