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A join theorem for the computably enumerable degrees

文献类型:期刊论文

作者Jockusch CG ; Li AS ; Yang Ye
刊名Transactions of the American Mathematical Society
出版日期2004
卷号356期号:7页码:2557-2568
关键词join theorem computably enumerable degree definable ideals Turing jump
通讯作者Jockusch ; CG (通讯作者) ; Univ Illinois ; Dept Math ; 1409 W Green St ; Urbana ; IL 61801 USA
收录类别SCI
公开日期2010-08-23
附注It is shown that for any computably enumerable (c.e.) degree w; if w not equal 0; then there is a c. e. degree a such that (a boolean OR w)' = a" = 0" (so a is low(2) and aboolean ORw is high). It follows from this and previous work of P. Cholak; M. Groszek and T. Slaman that the low and low(2) c.e. degrees are not elementarily equivalent as partial orderings.
源URL[http://124.16.136.157/handle/311060/3814]  
专题软件研究所_基础软件国家工程研究中心_期刊论文
推荐引用方式
GB/T 7714
Jockusch CG,Li AS,Yang Ye. A join theorem for the computably enumerable degrees[J]. Transactions of the American Mathematical Society,2004,356(7):2557-2568.
APA Jockusch CG,Li AS,&Yang Ye.(2004).A join theorem for the computably enumerable degrees.Transactions of the American Mathematical Society,356(7),2557-2568.
MLA Jockusch CG,et al."A join theorem for the computably enumerable degrees".Transactions of the American Mathematical Society 356.7(2004):2557-2568.

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来源:软件研究所

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