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Local Initial Segments of The Turing Degrees

  • Bjørn Kjos-Hanssen (a1)

Recent results on initial segments of the Turing degrees are presented, and some conjectures about initial segments that have implications for the existence of nontrivial automorphisms of the Turing degrees are indicated.

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[1] U. Abraham and R. A. Shore , Initial segments of the degrees of size 풩1, Israel Journal of Mathematics, vol. 53 (1986), no. 1, pp. 151.

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[20] R. A. Shore and T. A. Slaman , Defining the Turing jump, Mathematical Research Letters, vol. 6 (1999), no. 5–6, pp. 711722.

[22] C. Spector , On the degrees of recursive unsolvability, Annals of Mathematics (2), vol. 64 (1956), pp. 581592.

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Bulletin of Symbolic Logic
  • ISSN: 1079-8986
  • EISSN: 1943-5894
  • URL: /core/journals/bulletin-of-symbolic-logic
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