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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Inverting the half-jump
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by S. Homer and G. E. Sacks PDF
Trans. Amer. Math. Soc. 278 (1983), 317-331 Request permission

Abstract:

Assume $\beta$ is weakly admissible over $0$ and ${0^{1 / 2}}$. It follows that the $\beta$-recursively enumerable degrees are dense. In addition each $\beta$-recursively enumerable degree above ${0^{1 / 2}}$ is the half-jump of some tamely $\beta$-recursively enumerable degree below ${0^{1 / 2}}$.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 278 (1983), 317-331
  • MSC: Primary 03D60
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0697077-X
  • MathSciNet review: 697077