Indestructibility under adding Cohen subsets and level by level equivalence

نویسنده

  • Arthur W. Apter
چکیده

We construct a model for the level by level equivalence between strong compactness and supercompactness in which the least supercompact cardinal κ has its strong compactness indestructible under adding arbitrarily many Cohen subsets. There are no restrictions on the large cardinal structure of our model.

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عنوان ژورنال:
  • Math. Log. Q.

دوره 55  شماره 

صفحات  -

تاریخ انتشار 2009