A single minimal complement for the c. e. degrees

被引：2
|
作者：
Lewis, Andrew E. M. [1 ]
机构：
[1] Univ Siena, Dipartimento Sci Matemat Informat Roberto Magari, I-53100 Siena, Italy
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 12期
关键词：
D O I：
10.1090/S0002-9947-07-04331-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that there exists a minimal (Turing) degree b < 0' such that for all non-zero c. e. degrees a, 0' = a. b. Since b is minimal this means that b complements all c. e. degrees other than 0 and 0'. Since every n-c.e. degree bounds a non-zero c. e. degree, b complements every n-c.e. degree other than 0 and 0'.
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页码：5817 / 5865
页数：49
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