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Nonisolated degrees and the jump operator

โœ Scribed by Guohua Wu


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
123 KB
Volume
117
Category
Article
ISSN
0168-0072

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๐Ÿ“œ SIMILAR VOLUMES


Isolation and the Jump Operator
โœ Guohua Wu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 167 KB
Splitting theorems and the jump operator
โœ R.G. Downey; Richard A. Shore ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 602 KB

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.