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these same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpublished theorem due to the first author.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)

@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}
}