Many Normal Measures

Notre Dame Journal of Formal Logic 55 (3):349-357 (2014)
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Abstract

We characterize the situation of having at least $^{+}$-many normal ultrafilters on a measurable cardinal $\kappa$. We also show that if $\kappa$ is a compact cardinal, then $\kappa$ carries $^{+}$-many $\kappa$-complete ultrafilters, each of which extends the club filter on $\kappa$

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10.1215/00294527-2688060

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References found in this work

Sets constructible from sequences of ultrafilters.William J. Mitchell - 1974 - Journal of Symbolic Logic 39 (1):57-66.
The number of normal measures.Sy-David Friedman & Menachem Magidor - 2009 - Journal of Symbolic Logic 74 (3):1069-1080.
Some applications of iterated ultrapowers in set theory.Kenneth Kunen - 1970 - Annals of Mathematical Logic 1 (2):179.
The $\triangleleft$-ordering on normal ultrafilters.Stewart Baldwin - 1985 - Journal of Symbolic Logic 50 (4):936 - 952.

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