Annals of Pure and Applied Logic 80 (3):277-289 (1996)

Abstract
We give a proof of a theorem of Harrington that there is no orbit of the lattice of recursively enumerable sets containing elements of each nonzero recursively enumerable degree. We also establish some degree theoretical extensions.
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DOI 10.1016/0168-0072(96)83748-1
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References found in this work BETA

Jumps of Hemimaximal Sets.Rod Downey & Mike Stob - 1991 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 37 (8):113-120.
Highness and Bounding Minimal Pairs.Rodney G. Downey, Steffen Lempp & Richard A. Shore - 1993 - Mathematical Logic Quarterly 39 (1):475-491.
A Non-Inversion Theorem for the Jump Operator.Richard A. Shore - 1988 - Annals of Pure and Applied Logic 40 (3):277-303.
Jumps of Hemimaximal Sets.Rod Downey & Mike Stob - 1991 - Mathematical Logic Quarterly 37 (8):113-120.

View all 8 references / Add more references

Citations of this work BETA

Definable Properties of the Computably Enumerable Sets.Leo Harrington & Robert I. Soare - 1998 - Annals of Pure and Applied Logic 94 (1-3):97-125.
Some Orbits for E.Peter Cholak, Rod Downey & Eberhard Herrmann - 2001 - Annals of Pure and Applied Logic 107 (1-3):193-226.

View all 6 citations / Add more citations

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