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The existence of countable totally nonconstructive extensions of the countable atomless Boolean algebra

Published online by Cambridge University Press:  12 March 2014

E. W. Madison
E. W. Madison*
Affiliation:
University of Iowa, Iowa City, Iowa 52242
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Abstract

Our results concern the existence of a countable extension of the countable atomless Boolean algebra such that is a “nonconstructive” extension of . It is known that for any fixed admissible indexing φ of there is a countable nonconstructive extension of (relative to φ). The main theorem here shows that there exists an extension of such that for any admissible indexing φ of , is nonconstructive (relative to φ).Thus, in this sense a countable totally nonconstructive extension of .

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 48 , Issue 1 , March 1983 , pp. 167 - 170
Copyright
Copyright © Association for Symbolic Logic 1983

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References

REFERENCES

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