Abstract
Generalizing some earlier techniques due to the second author, we show that Menas' theorem which states that the least cardinal K which is a measurable limit of supercompact or strongly compact cardinals is strongly compact but not 2k supercompact is best possible. Using these same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpublished theorem due to the first author.
Original language | English |
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Pages (from-to) | 2007-2034 |
Number of pages | 28 |
Journal | Transactions of the American Mathematical Society |
Volume | 349 |
Issue number | 5 |
State | Published - 1997 |