Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 46, Issue 2 (1981), 249-254.
Measurability and Degrees of Strong Compactness
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.
J. Symbolic Logic, Volume 46, Issue 2 (1981), 249-254.
First available in Project Euclid: 6 July 2007
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Apter, Arthur W. Measurability and Degrees of Strong Compactness. J. Symbolic Logic 46 (1981), no. 2, 249--254. https://projecteuclid.org/euclid.jsl/1183740773