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<p>Extending a result of Zacharov, we show that every nonzero enumeration degree consists of infinitely many s-degrees. In fact, we show that there is no minimal s-degree inside any nonzero enumeration degree. This answers open questions in the literature raised by Cooper and Batyrshin.</p>

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Every Nonzero Enumeration Degree Contains Infinitely Many Singleton Degrees

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • T. F. Kent,
  • K. M. Ng,
  • A. Sorbi

摘要

Extending a result of Zacharov, we show that every nonzero enumeration degree consists of infinitely many s-degrees. In fact, we show that there is no minimal s-degree inside any nonzero enumeration degree. This answers open questions in the literature raised by Cooper and Batyrshin.