Open Access
2014 Many Normal Measures
Shimon Garti
Notre Dame J. Formal Logic 55(3): 349-357 (2014). DOI: 10.1215/00294527-2688060


We characterize the situation of having at least (2κ)+-many normal ultrafilters on a measurable cardinal κ. We also show that if κ is a compact cardinal, then κ carries (2κ)+-many κ-complete ultrafilters, each of which extends the club filter on κ.


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Shimon Garti. "Many Normal Measures." Notre Dame J. Formal Logic 55 (3) 349 - 357, 2014.


Published: 2014
First available in Project Euclid: 22 July 2014

zbMATH: 1337.03070
MathSciNet: MR3263532
Digital Object Identifier: 10.1215/00294527-2688060

Primary: 03E05
Secondary: 03E55

Keywords: club filter , compact cardinal , measurable cardinal , normal measure

Rights: Copyright © 2014 University of Notre Dame

Vol.55 • No. 3 • 2014
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