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A semi-linear group which is not affine

✍ Scribed by Pantelis E. Eleftheriou

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 256 KB
Volume: 156
Category: Article
ISSN: 0168-0072
DOI: 10.1016/j.apal.2008.07.001

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## Abstract We study the degrees of unsolvability of sets which are cohesive (or have weaker recursion‐theoretic “smallness” properties). We answer a question raised by the first author in 1972 by showing that there is a cohesive set __A__ whose degree a satisfies a' = 0″ and hence is not high. We