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Complementing cappable degrees in the difference hierarchy

✍ Scribed by Rod Downey; Angsheng Li; Guohua Wu


Book ID
108054544
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
284 KB
Volume
125
Category
Article
ISSN
0168-0072

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## Abstract Say that a nonzero c. e. degree **__b__** is a quasi‐complement of a c. e. degree **__a__** if **__a__** ∩ **__b__** = **0** and **__a__** βˆͺ **__b__** is high. It is well‐known (due to Shore) that each cappable degree has a high quasi‐complement. However, by the existence of the almost

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