### Menas' Result is Best Possible

by Apter and Shelah. [ApSh:496]

Transactions American Math Soc, 1997

Generalizing some earlier techniques due to the second
author, we show that Menas' theorem which states that the least
cardinal kappa which is a measurable limit of supercompact or
strongly compact cardinals is strongly compact but not
2^kappa 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Woodin and extend and give a new proof of an unpublished theorem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.

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