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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The irrationals are not recursively enumerable


Author: Richard Mansfield
Journal: Proc. Amer. Math. Soc. 110 (1990), 495-497
MSC: Primary 03D75; Secondary 68Q15
MathSciNet review: 1019752
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Abstract: The set of rationals is not recursive over any field of infinite transcendence degree.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1019752-9
PII: S 0002-9939(1990)1019752-9
Article copyright: © Copyright 1990 American Mathematical Society