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Measurability and degrees of strong compactness1

Published online by Cambridge University Press:  12 March 2014

Arthur W. Apter
Arthur W. Apter*
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
*
University of Miami, Coral Gables, Florida 33124
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Abstract

We prove, relative to suitable hypotheses, that it is consistent for there to be unboundedly many measurable cardinals each of which possesses a large degree of strong compactness, and that it is consistent to assume that the least measurable is partially strongly compact and that the second measurable is strongly compact. These results partially answer questions of Magidor on the relationship of strong compactness to measurability.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 46 , Issue 2 , June 1981 , pp. 249 - 254
Copyright
Copyright © Association for Symbolic Logic 1981

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Footnotes

1

The results obtained in this paper form a portion of the author's doctoral dissertation written at M.I.T. under Professor E. M. Kleinberg, to whom the author is indebted for his aid and encouragement.

References

REFERENCES

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