2000 character limit reached
Normal numbers and limit computable Cantor series (1404.2178v1)
Published 8 Apr 2014 in math.LO
Abstract: Given any oracle, A, we construct a basic sequence Q, computable in the jump of A, such that no A-computable real is Q-distribution-normal. A corollary to this is that there is a Delta0_{n+1} basic sequence with respect to which no Delta0_n real is distribution-normal. As a special case, there is a limit computable sequence relative to which no computable real is distribution-normal.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.