Menas' result is best possible

Arthur W. After*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

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these same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpublished theorem due to the first author.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 languageEnglish
Pages (from-to)2007-2034
Number of pages28
JournalTransactions of the American Mathematical Society
Volume349
Issue number5
StatePublished - 1997

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