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Initial segments of Δ 2n+1 1-degrees

Published online by Cambridge University Press:  12 March 2014

Ilias G. Kastanas
Ilias G. Kastanas*
Affiliation:
Department of Mathematics, California State University, Los Angeles, Los Angeles, California 90032
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Abstract

A standard result about hyperdegrees is proved (under PD) for all Δ 2n+1 1-degrees.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 53 , Issue 1 , March 1988 , pp. 259 - 268
Copyright
Copyright © Association for Symbolic Logic 1988

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References

REFERENCES

[1] Jech, T., Set theory, Academic Press, New York, 1978.Google Scholar
[2] Kechris, A., Forcing in analysis, Higher set theory (Proceedings, Oberwolfach, 1977), Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1978, pp. 277–302.CrossRefGoogle Scholar
[3] Kechris, A., Spector second order classes and reflection, Generalized recursion theory II (Fenstad, J. E. et al., editors), North-Holland, Amsterdam, 1978, pp. 147–183.Google Scholar
[4] Kechris, A., Forcing with Δ perfect sets and minimal Δ-degrees, this Journal, vol. 46 (1981), pp. 803–816.Google Scholar
[5] Lerman, M., Degrees of unsolvability, Springer-Verlag, Berlin, 1983.CrossRefGoogle Scholar
[6] Moschovakis, Y., Descriptive set theory, North-Holland, Amsterdam, 1980.Google Scholar
[7] Rogers, H., Theory of recursive functions and effective computability, McGraw-Hill, New York, 1967.Google Scholar
[8] Thomason, S., On initial segments of hyperdegrees, this Journal, vol. 35 (1970), pp. 189–197.Google Scholar