Displaying similar documents to “A characterization of lifting generics for Sacks-like forcings”

Continuous tree-like scales

James Cummings (2010)

Open Mathematics

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Answering a question raised by Luis Pereira, we show that a continuous tree-like scale can exist above a supercompact cardinal. We also show that the existence of a continuous tree-like scale at ℵω is consistent with Martin’s Maximum.

Proper forcings and absoluteness in L ( ℝ )

Itay Neeman, Jindřich Zapletal (1998)

Commentationes Mathematicae Universitatis Carolinae

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We show that in the presence of large cardinals proper forcings do not change the theory of L ( ℝ ) with real and ordinal parameters and do not code any set of ordinals into the reals unless that set has already been so coded in the ground model.