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HC of an admissible set1

Published online by Cambridge University Press:  12 March 2014

Sy D. Friedman
Sy D. Friedman*
Affiliation:
University of Chicago, Chicago, IL 60637
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Abstract

If A is an admissible set, let HC(A) = {x∣x ∈ A and x is hereditarily countable in A}. Then HC(A) is admissible. Corollaries are drawn characterizing the “real parts” of admissible sets and the analytical consequences of admissible set theory.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 44 , Issue 1 , March 1979 , pp. 95 - 102
Copyright
Copyright © Association for Symbolic Logic 1979

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Footnotes

1

The research for this paper was supported by NSF Grant = MCS 76-07033. This paper accompanies a talk delivered by the author at the December, 1977 meeting of the Association for Symbolic Logic, Washington, D. C. The author wishes to thank the referee for his pointed and valuable suggestions.

References

REFERENCES

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