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More on the Least Strongly Compact Cardinal
Mathematical Logic Quarterly 43 (3):427-430 (1997)
Abstract
We show that it is consistent, relative to a supercompact limit of supercompact cardinals, for the least strongly compact cardinal k to be both the least measurable cardinal and to be > 2k supercompactMy notes
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Citations of this work
Identity crises and strong compactness.Arthur Apter & James Cummings - 2000 - Journal of Symbolic Logic 65 (4):1895-1910.
Patterns of compact cardinals.Arthur W. Apter - 1997 - Annals of Pure and Applied Logic 89 (2-3):101-115.
Exactly controlling the non-supercompact strongly compact cardinals.Arthur W. Apter & Joel David Hamkins - 2003 - Journal of Symbolic Logic 68 (2):669-688.
A new proof of a theorem of Magidor.Arthur W. Apter - 2000 - Archive for Mathematical Logic 39 (3):209-211.
Universal partial indestructibility and strong compactness.Arthur W. Apter - 2005 - Mathematical Logic Quarterly 51 (5):524-531.
References found in this work
On strong compactness and supercompactness.Telis K. Menas - 1975 - Annals of Mathematical Logic 7 (4):327-359.
How large is the first strongly compact cardinal? or a study on identity crises.Menachem Magidor - 1976 - Annals of Mathematical Logic 10 (1):33-57.
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