Skip to main content
Log in

Index sets in0

  • Published:
Algebra and Logic Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. Y. L. Ershov, “Completely enumerated sets,” Sibirsk. Matem. Zh.,10, No. 5, 1048–1067 (1969).

    Google Scholar 

  2. Y. L. Ershov, “On a hierarchy of sets. II,” Algebra i Logika,7, No. 4, 15–47 (1968).

    Google Scholar 

  3. Y. L. Ershov, “On a hierarchy of sets. III,” Algebra i Logika,9, No. 1, 34–51 (1970).

    Google Scholar 

  4. R. Friedberg, “A criterion for completeness of degrees of unsolvability,” J. Symbolic Logic, 22, 159–160 (1957).

    Google Scholar 

  5. L. Hay, “A discrete chain of degrees of index sets,” J. Symbolic Logic, 37, 139–149 (1972).

    Google Scholar 

  6. L. Hay, "Discrete ω-sequence of index sets," Trans. Amer. Math. Soc., in press.

  7. H. G. Rice, “Classes of recursively enumerable sets and their decision problems,” Trans. Amer. Math. Soc., 74, 358–366 (1953).

    Google Scholar 

  8. H. Rogers, Jr., Theory of Recursive Functions and Effective Computability, McGraw-Hill (1967).

  9. G. E. Sacks, Degrees of Unsolvability, Annals of Math. Studies, No. 55, Princeton University Press (1963).

Download references

Authors

Additional information

These results were presented to the American Mathematical Society in New York City on April 21, 1973. Some of the results were obtained while on a Visiting Professorship at Rutgers University. We are grateful to the Rutgers Mathematics Department for its hospitality, and to Joseph G. Rosenstein for useful discussions.

University of Illinois at Chicago Circle, Published in Algebra i Logika, Vol. 12, No. 6, pp. 713–729, November–December, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hay, L. Index sets in0′. Algebr Logic 12, 408–416 (1973). https://doi.org/10.1007/BF02218733

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02218733

Navigation