米纳斯的结果是最好的
Menas' result is best possible
摘要:
推广了第二作者的一些早期技巧,我们证明了Menas定理,即超紧或强紧基数的可测极限的最小基数kappa是强紧的,但不是2^kappa超紧的。使用这些相同的技术,我们还延长,并给出一个新的证明的一个定理的伍丁和延长,并给出一个新的证明的一个未发表的定理,由于第一作者。
英文摘要:
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these same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpublished theorem due to the first author.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。