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A Lifting Argument for the Generalized Grigorieff Forcing
2016
Notre Dame Journal of Formal Logic
In this short paper, we describe another class of forcing notions which preserve measurability of a large cardinal κ from the optimal hypothesis, while adding new unbounded subsets to κ. In some ways these forcings are closer to the Cohen-type forcings -e.g. we show that they are not minimalhowever, they share some properties with tree-like forcings. We show that they admit fusion-type arguments which allow for a uniform lifting argument.
doi:10.1215/00294527-3459833
fatcat:r7mzaylptngotnlprbe4fa74im