# Sh:496

- Apter, A. W., & Shelah, S. (1997).
*Menas’ result is best possible*. Trans. Amer. Math. Soc.,**349**(5), 2007–2034. arXiv: math/9512226 DOI: 10.1090/S0002-9947-97-01691-7 MR: 1370634 -
Abstract:

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these same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpublished theorem due to the first author. - Version 1995-12-25_10 (32p) published version (28p)

Bib entry

@article{Sh:496, author = {Apter, Arthur W. and Shelah, Saharon}, title = {{Menas' result is best possible}}, journal = {Trans. Amer. Math. Soc.}, fjournal = {Transactions of the American Mathematical Society}, volume = {349}, number = {5}, year = {1997}, pages = {2007--2034}, issn = {0002-9947}, mrnumber = {1370634}, mrclass = {03E55 (03E35)}, doi = {10.1090/S0002-9947-97-01691-7}, note = {\href{https://arxiv.org/abs/math/9512226}{arXiv: math/9512226}}, arxiv_number = {math/9512226} }