Skip to main content
Log in

The weak density of properly d-r.e. branching degree in the d-r.e. degrees

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

It is proved that for any r.e. degreesv <u, there exists a properly d-r.e. degreec such thatc is a branching degree andv <c <u.

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.

Similar content being viewed by others

References

  1. Kaddah, D., Infima in the d-r.e. degrees,Annals of Pure and Applied Logic, 1993, 62(3); 207.

    Article  MATH  MathSciNet  Google Scholar 

  2. Slaman, T.A., The density of infima in the recursively enumerable degrees,Annals of Pure and Applied Logic, 1991, 52(2): 155.

    Article  MATH  MathSciNet  Google Scholar 

  3. Soare, R. I., Recursively enumerable sets and degrees, inPerspective in Mathematical Logic, Berlin: Springer-Verlag, 1987.

    Google Scholar 

  4. Sacks, G. E., The recursively enumerable degrees are dense,Annals of Math., 1964, 80(2): 300.

    Article  MathSciNet  Google Scholar 

  5. Cooper, S. B., Weak density and cupping in the d-r.e. degrees,Israel Journal of Mathematics, 1989, 67(2): 137.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19771045) and National 863 Hi-Tech R&D Programme.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lu, H., Ding, D. The weak density of properly d-r.e. branching degree in the d-r.e. degrees. Sci. China Ser. A-Math. 42, 691–698 (1999). https://doi.org/10.1007/BF02878987

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02878987

Keywords

Navigation