摘要

In this short paper, we describe another class of forcing notions which preserve measurability of a large cardinal kappa from the optimal hypothesis, while adding new unbounded subsets to kappa. In some ways these forcings are closer to the Cohen-type forcings-we show that they are not minimal-but, they share some properties with treelike forcings. We show that they admit fusion-type arguments which allow for a uniform lifting argument.

  • 出版日期2016