Infinite subsets of random sets of integers
classification
🧮 math.LO
keywords
integersrandominfinitemartin-lsubsetapplycomputecomputes
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There is an infinite subset of a Martin-L\"of random set of integers that does not compute any Martin-L\"of random set of integers. To prove this, we show that each real of positive effective Hausdorff dimension computes an infinite subset of a Martin-L\"of random set of integers, and apply a result of Miller.
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