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arXiv · 1309.5428

Omitting cohesive sets

Wei Wang
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Abstract

We prove that if $\vec{R}$ is a computable sequence of subsets of $ω$ which admits no computable cohesive set, then no 3-generic computes any $\vec{R}$-cohesive set; and there exists a Martin-Löf random which computes no $\vec{R}$-cohesive set.

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Wei Wang. 2013-09-21. Omitting cohesive sets. https://doi.org/10.3969/j.issn.0469-5097.2013.01.005

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