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Martin's Maximum, Saturated Ideals and Non-Regular Ultrafilters. Part II

M. Foreman, M. Magidor and S. Shelah
Annals of Mathematics
Second Series, Vol. 127, No. 3 (May, 1988), pp. 521-545
Published by: Annals of Mathematics
DOI: 10.2307/2007004
Stable URL: http://www.jstor.org/stable/2007004
Page Count: 25
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Martin's Maximum, Saturated Ideals and Non-Regular Ultrafilters. Part II
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Abstract

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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