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Degrees of continuous functionals

Published online by Cambridge University Press:  12 March 2014

Peter G. Hinman
Peter G. Hinman*
Affiliation:
Universitetet I Oslo, Oslo 3, Norway University of Michigan, Ann Arbor, Michigan 48104
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Abstract

The partial order structure of degrees of unsolvability represented by continuous type-2 functional is a proper extension of the partial order structure of type-1 degrees.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 38 , Issue 3 , September 1973 , pp. 393 - 395
Copyright
Copyright © Association for Symbolic Logic 1973

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References

BIBLIOGRAPHY

[Ad]Addison, J. W., Separation principles in the hierarchies of classical and effective descriptive set theory, Fundamenta Mathematicae, vol. 46 (1958), pp. 123–135.CrossRefGoogle Scholar
[Gr]Grilliot, Thomas J., On effectively discontinuous type-2 objects, this Journal, vol. 36 (1971), pp. 245–248.Google Scholar
[Kl]Kleene, S. C., Recursive functionals and quantifiers of finite types. I, II, Transactions of the American Mathematical Society, vol. 91 (1959), pp. 1–52; vol. 108 (1963), pp. 106–142.Google Scholar