Lines Missing Every Random Point

Jack H. Lutz; Neil Lutz

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arXiv · 1401.3063

Lines Missing Every Random Point

Jack H. Lutz·Neil Lutz

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Abstract

We prove that there is, in every direction in Euclidean space, a line that misses every computably random point. We also prove that there exist, in every direction in Euclidean space, arbitrarily long line segments missing every double exponential time random point.

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Jack H. Lutz, Neil Lutz. 2014-01-14. Lines Missing Every Random Point. https://arxiv.org/abs/1401.3063

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