The number of normal measures

@article{Friedman2009TheNO,
  title={The number of normal measures},
  author={Sy-David Friedman and Menachem Magidor},
  journal={The Journal of Symbolic Logic},
  year={2009},
  volume={74},
  pages={1069 - 1080}
}
Abstract There have been numerous results showing that a measurable cardinal κ can carry exactly α normal measures in a model of GCH. where α is a cardinal at most κ++. Starting with just one measurable cardinal, we have [9] (for α = 1), [10] (for α = α++, the maximum possible) and [1] (for α = κ+, after collapsing κ++). In addition, under stronger large cardinal hypotheses, one can handle the remaining cases: [12] (starting with a measurable cardinal of Mitchell order α), [2] (as in [12], but… 

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