The least measurable can be strongly compact and indestructible

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Journal of Symbolic Logic 63 (4):1404-1412 (1998)
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Abstract

We show the consistency, relative to a supercompact cardinal, of the least measurable cardinal being both strongly compact and fully Laver indestructible. We also show the consistency, relative to a supercompact cardinal, of the least strongly compact cardinal being somewhat supercompact yet not completely supercompact and having both its strong compactness and degree of supercompactness fully Laver indestructible

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10.2307/2586658

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Citations of this work

The lottery preparation.Joel David Hamkins - 2000 - Annals of Pure and Applied Logic 101 (2-3):103-146.
Patterns of compact cardinals.Arthur W. Apter - 1997 - Annals of Pure and Applied Logic 89 (2-3):101-115.
The least strongly compact can be the least strong and indestructible.Arthur W. Apter - 2006 - Annals of Pure and Applied Logic 144 (1-3):33-42.

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References found in this work

Set Theory.Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (4):876-877.
Patterns of compact cardinals.Arthur W. Apter - 1997 - Annals of Pure and Applied Logic 89 (2-3):101-115.

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