Menas' result is best possible

Arthur W. After; Saharon Shelah

doi:10.1090/s0002-9947-97-01691-7

Menas' result is best possible

Arthur W. After^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 2^k 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these same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpublished theorem due to the first author.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
Pages (from-to)	2007-2034
Number of pages	28
Journal	Transactions of the American Mathematical Society
Volume	349
Issue number	5
DOIs	https://doi.org/10.1090/s0002-9947-97-01691-7
State	Published - 1997

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title = "Menas' result is best possible",

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Menas' result is best possible

Abstract

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