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Displaying similar documents to “Walks on countable ordinals and selective 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.