# Sh:496

• Apter, A. W., & Shelah, S. (1997). Menas’ result is best possible. Trans. Amer. Math. Soc., 349(5), 2007–2034.
• 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these same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpublished theorem due to the first author.
• 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},
doi = {10.1090/S0002-9947-97-01691-7},
mrclass = {03E55 (03E35)},
mrnumber = {1370634},
mrreviewer = {Carlos A. Di Prisco},
doi = {10.1090/S0002-9947-97-01691-7},
note = {\href{https://arxiv.org/abs/math/9512226}{arXiv: math/9512226}},
arxiv_number = {math/9512226}
}