中文

Menas' result is best possible

逻辑 2016-09-06 v1

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same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpublished theorem due to the first author.

引用

@article{arxiv.math/9512226,
  title  = {Menas' result is best possible},
  author = {Arthur Apter and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9512226},
  year   = {2016}
}