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 S. B. Cooper , A splitting theorem of the n-r.e. degrees, Proceedings of the American Mathematical Society, vol. 115, pp. 461–471.
 S. B. Cooper , L. Harrington , A. H. Lachlan , S. Lempp , and R. I. Soare , The d.r.e. degrees are not dense, Annals of Pure and Applied Logic, vol. 55 (1991), pp. 125–151.
 S. B. Cooper , S. Lempp , and P. Watson , Weak density and cupping in the d-r.e. degrees, Israel Journal of Mathematics, vol. 67 (1989), pp. 137–152.
 D. Ding and L. Qian , Isolated d.r.e. degrees are dense in r.e. degree structure, Archive for Mathematical Logic, vol. 36 (1996), pp. 1–10.
 R. G. Downey , D.r.e. degrees and the nondiamond theorem, Bulletin of the London Mathematical Society, vol. 21 (1989), pp. 43–50.
 Yu. L. ErsHoV , On a hierarchy of sets I, Algebra i Logika, vol. 7 (1968), pp. 47–73.
 L. Harrington and R. I. Soare , Games in recursion theory and continuity properties of capping degrees, Set theory and the continuum ( H. Judah , W. Just , and W. H. Woodin , editors), 1992, pp. 39–62.
 S. Ishmukhametov and G. Wu , Isolation and the high/low hierarchy, Archive for Mathematical Logic, vol. 41 (2002), pp. 259–266.
 G. LaForte , The isolated d.r.e. degrees are dense in the r.e. degrees, Mathematical Logic Quarterly, vol. 42 (1996), pp. 83–103.
 G. E. Sacks , On the degrees less than 0′, Annals of Mathematics, vol. 77 (1963), pp. 211–231.
 G. E. Sacks , The recursively enumerable degrees are dense, Annals of Mathematics, vol. 80 (1964), pp. 300–312.
 R. I. Soare , Recursively enumerable sets and degrees, Springer-Verlag, Berlin, 1987.
 G. Wu , Isolation and the jump operator, Mathematical Logic Quarterly, vol. 47 (2001), pp. 525–534.
 G. Wu , Nonisolated degrees and the jump operator, Annals of Pure and Applied Logic, vol. 117 (2002), pp. 209–221.