A note on the enumeration degrees of 1-generic sets

作者：Badillo Liliana; Bianchini Caterina; Ganchev Hristo; Kent Thomas F; Sorbi Andrea^*

来源：Archive for Mathematical Logic, 2016, 55(3-4): 405-414.

DOI：10.1007/s00153-015-0471-6

• Enumeration degrees
• 1-Generic set

We show that every nonzero Delta(0)(2) enumeration degree bounds the enumeration degree of a 1-generic set. We also point out that the enumeration degrees of 1-generic sets, below the first jump, are not downwards closed, thus answering a question of Cooper.

• 出版日期2016-5