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Displaying similar documents to “Non-dominating ultrafilters”

Proper forcings and absoluteness in L ( )

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 ( ) 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.

The combinatorics of reasonable ultrafilters

Saharon Shelah (2006)

Fundamenta Mathematicae

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We are interested in generalizing part of the theory of ultrafilters on ω to larger cardinals. Here we set the scene for further investigations introducing properties of ultrafilters in strong sense dual to being normal.