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Splitting theorems and the jump operator

โœ Scribed by R.G. Downey; Richard A. Shore


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
602 KB
Volume
94
Category
Article
ISSN
0168-0072

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โœฆ Synopsis


We investigate the relationship of (jumps of) the degrees of splittings of a computably enumerable set and the degree of the set. We prove that there is a high computably enumerable set whose only proper splittings are Lowe.


๐Ÿ“œ SIMILAR VOLUMES


Jump Theorems for REA Operators
โœ Alistair H. Lachlan; Xiaoding Yi ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 269 KB

## Abstract In [2], Jockusch and Shore have introduced a new hierarchy of sets and operators called the REA hierarchy. In this note we prove analogues of the Friedberg Jump Theorem and the Sacks Jump Theorem for many REA operators. MSC: 03D25, 03D55.

Isolation and the Jump Operator
โœ Guohua Wu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 167 KB
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