Martin's Maximum, saturated ideals and non-regular ultrafilters. Part II

  title={Martin's Maximum, saturated ideals and non-regular ultrafilters. Part II},
  author={Matthew D. Foreman and Menachem Magidor and Saharon Shelah},
  journal={Annals of Mathematics},
We prove, assuming the existence of a huge cardinal, the consistency of fully non-regular ultrafilters on the successor of any regular cardinal. We also construct ultrafilters with ultraproducts of small cardinality. Part II is logically independent of Part I. 

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