正规数与极限可计算Cantor级数
Normal numbers and limit computable Cantor series
摘要：
给定任何预言机A，我们构造一个基本序列Q，可在A的跳跃中计算，使得没有A-可计算实数是Q-分布-正态的。这一点的一个推论是，存在一个Δ ^0_{n+1}基本序列，对于该序列，没有Δ ^0_n实数是分布正态的。作为一种特殊情况，有一个极限可计算序列，相对于它没有可计算实数是分布正态的。
英文摘要：
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 Delta^0_{n+1} basic sequence with respect to which no Delta^0_n real is distribution-normal. As a special case, there is a limit computable sequence relative to which no computable real is distribution-normal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
