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On shelah’s compactness of cardinals

✍ Scribed by Shai Ben-David

Book ID
112885867
Publisher
The Hebrew University Magnes Press
Year
1978
Tongue
English
Weight
25 KB
Volume
31
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.

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## Abstract We consider minimal ranks of extenders associated with Shelah cardinals by introducing witnessing numbers. Using these numbers we shall investigate effects of Shelah cardinals above themselves. MSC: 03E55.

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## 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 > 2^k^ supercompact.